select the equivalent expression. (a^-2 • 8^7)^2

a. 8^9
b. (8a)^10
c. a^-4 • 8^14

Select The Equivalent Expression. (a^-2 8^7)^2a. 8^9b. (8a)^10c. A^-4 8^14

Answers

Answer 1

Answer:

c.

Step-by-step explanation:

Answer 2

The equivalent expression of [tex](a^{-2}.8^{7} )^{2}[/tex] is  [tex]a^{-4} .8^{14}[/tex].

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given expression

[tex](a^{-2}.8^{7} )^{2}[/tex]

Using formula [tex]a^{-m} =\frac{1}{a^{m} }[/tex]

= [tex](\frac{8^{7} }{a^{2} } )^{2}[/tex]

= [tex]\frac{(8^{7}) ^{2} }{(a^{2}) ^{2}}[/tex]

Using [tex](a^{m} )^{n} =a^{m \times n}[/tex]

= [tex]\frac{8^{14} }{a^{4} }[/tex]

= [tex]a^{-4} .8^{14}[/tex]

Option C is correct.

The equivalent expression of [tex](a^{-2}.8^{7} )^{2}[/tex] is  [tex]a^{-4} .8^{14}[/tex].

Find out more information about expression here

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Related Questions

(4x - 7)2 + (x + 3)2

Answers

Answer:

16x+8

Step-by-step explanation:

:)

Answer:

10x - 8

Step-by-step explanation:

(4x - 7)2 + (x + 3)2

Use distributive property

8x - 14 + 2x + 6

Simplify

8x - 14 + 2x + 6

Combine like terms

10x - 8

Simplify

I hope this helps! May I please have brainliest? :)

what is the value of x?

Answers

Answer:

probs too late, but i think the answer is x=12

Step-by-step explanation:

the angles should add up to equal 180

180-36=144

144=8x+4x

144=12x

now divide by both sides to isolate x

12=x

u can check by plugging in ofc, 36+(8x12)+(4x12)=36+96+48=180

:)  hope this helps

how do i find whether it is sss sas or aas or hl?

Answers

Answer:

easy it 53847263

Step-by-step explanation:

it is

Answer:

A: SSS | B: HL | C: SAS

Step-by-step explanation:

Firstly, SSS is where you know that each side of a triangle is congruent to the other triangle.

Secondly, SAS is where you know two sides and an angle are congruent. This angle will be between two sides that are congruent. This can be put clockwise or counterclockwise, but the sides and angle must be consecutive.

Thirdly, AAS is where you know two angles and one side are congruent.

Lastly, HL (Theorem) is where you know that the hypotenuse and a leg of a right triangle are congruent.

A: TU≅WX, ST≅XV, and SU≅VW

B: Two right triangles; HA and OK are the hypotenuses, and HA≅OK, RH≅RK

C: ZW≅YX, ∠W≅∠X, and WX≅WX

Help please for math

Answers

3+3=6 is that to hard to understand

Answer:

13.5*pi = 42.412

Step-by-step explanation:

ecplanation in picture

2/3 ÷ 5. Solve using a model. If you are ready, check your answer with a computation.

Answers

Answer:

2/15 or 0.13 repeating

Step-by-step explanation:

Which linear equations have one solution? Check all that apply.
5x - 1 = 3(x + 11)
4(x - 2) + 4x = 8(x – 9)
4(x – 6) + 4 = 2(x - 3)
2(x – 4) = 5(x – 3) + 3
2(x - 1) + 3x = 5(x - 2) + 3

Answers

Step-by-step explanation:

linear equations have one solution are:-

5x - 1 = 3(x + 11)

4(x – 6) + 4 = 2(x - 3)

2(x – 4) = 5(x – 3) + 3

Answer:

The linear equations that have one solution are:

5x - 1 = 3(x + 11)

4(x – 6) + 4 = 2(x - 3)

2(x – 4) = 5(x – 3) + 3

Step-by-step explanation:

100% on Edge 2021

can some body help me

Answers

Answer:

63

Step-by-step explanation:

k=y/x

y/x=k

y=k×x

y=7×9

y=63

I'm stuck on my math homework. Need help! Please solve!

Answers

Answers:

Sam's current age = 24The mother's current age = 48

=========================================================

Explanation:

s = Sam's age right now

2s = the mother's age right now, since she is twice as old as Sam currently.

In 12 years time, Sam will be s+12 years old.

12 years ago from this current year, the mother was 2s-12 years old.

Since we're told these future and past ages line up, this means s+12 and 2s-12 are the same value

Set the expressions equal to one another and solve for s.

s+12 = 2s-12

s-2s = -12-12

-s = -24

s = 24

Sam is currently 24 years old.

His mother is currently 2s = 2*24 = 48 years old.

12 years ago, his mother was 2s-12 = 48-12 = 36 years old.

12 years from now, Sam will be s+12 = 24+12 = 36 years old.

Since we get 36 each time, this confirms we have the correct answers.

Marcus is buying candy by the pound for a party. For every 10 pounds of candy
he buys, he pays $12.50. What is the cost, per pound, for the candy?

Answers

Answer:

Step-by-step explanation: answer 1.25 per pound

Susan had 30 items of clothing in her wardrobe. She donated 20% of her clothing during a charity clothing drive at the school. How many items of clothing did Susan donate?

Answers

she donated 6 items.

2. 2.
What is the quotient of 3 and g

Answers

Answer:

G has no value

Step-by-step explanation:

So im guessing your expression is 3 ÷ g

Help please! 20 points!





Thank you.

Answers

Answer:

I think its B

if i'm wrong i'm sorry.....i only got 10 points anyways

Step-by-step explanation:

I will mark you is a brainleast

Answers

Answer:

B

Step-by-step explanation:

negative numbers go left

Answer:

the answer is B

Step-by-step explanation:

A would be to close to -4 to be -3.35

Neeed helppp plssss help help

Answers

Step-by-step explanation:

[tex]v = \frac{4}{3} \times 3 \times {2}^{3} = 4 \times 8 = 32 \: {cm}^{3} [/tex]

What is tan 45°?
45°
v2
1
1
90°
45°

Answers

Answer:

the aanswer is 1

Step-by-step explanation:

Lisa added 4 7 15 and 5 2 5 to get a sum of 10 2

Answers

Step-by-step explanation:

n v r good morning to you and your family too

Answer:

Step-by-step explanation:

A

Margaret’s favorite restaurant has 3 specials every day. There are 2 choices of vegetable and 3 choices of dessert. How many different meals could Margaret have if she chooses one special, one vegetable, and one dessert?

Question 8 options:

A. 24


B. 6


C. 18


D. 8

Answers

Answer:

b

Step-by-step explanation:

That would be 8 you just add them up.

Latoya is saving money at a constant rate to buy a new
computer. The table below shows the amount of money that
Latoya still needs to purchase the computer.
Weeks of Saving Money Still Needed
2
$630
5
$450
7
$330
9
$210

Answers

that makes no sense

Step-by-step explanation:

it does not take photo of the chart

Subtract
273,054
- 184,095

Answers

Answer:

88,959

Step-by-step explanation:

it's subtraction. I got the answer

Answer:

88,959

Step-by-step explanation:

Clearly, we do the ones place first, and so..

054

-

095 =

We borrow from 5 which turns into 4 and 4 turns into 14.

14 - 5 = 9

So our first number is 9!

= __9

We borrow from the thousands, 3 becomes 2 and 0 becomes 10!

We can't subtract 4 from 9 so we borrow from 10, 10 becomes 9 and 4 becomes 14.

14 - 9 = 5

( Now i'm getting lazy so I will just show the steps without as many words )

9 - 0 = 9

~~~~~~~~~~~~~~~

054 - 095 = 959

! Hundreds place !

( 3 is now a 2 since we borrowed from 3)

272

-

184 =

( Borrowed from 7 to make 12 so 7 is now 6 )

12 - 4 = 8

~~~~~~~~~~~~~~~

(We need to borrow from the first 2 in 272 to make 16 from when we borrowed from 7 )

16 - 8 = 8

~~~~~~~~~~~~~~~

(2 was borrowed so it's now 1 )

1 - 1 = 0

~~~~~~~~~~

And we get 088,959

Remove the 0 and we have 88,959

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I hope this helps you!

      ~~ Livv

To find the zeroes of polynomials we:
Plz help me !!

Answers

Answer:

divide the zero

Step-by-step explanation:

Select all the expressions that are equivalent to 3x + 9 + 3.0 + 9.,
Please help

Answers

Answer:

Option 1,2,5 and 7 are correct.

Step-by-step explanation:

To find : Which of the following expressions are equivalent to the expression 4x + 8?

Solution :

We solve every given options,

1)

It is equivalent.

2)

It is equivalent.

3)

It is not equivalent.

4)

It is not equivalent.

5)

It is equivalent.

6)

It is not equivalent.

7)

It is equivalent.

Therefore, Option 1,2,5 and 7 are correct.

Step-by-step explanation:

GMMMMMMMM
If you could have dinner with anyone from history who would it be?
lol

Answers

Answer:

DEFFFF Rosa parks because it would be interesting to hear the rest of her side.of the segregation story. Thx for the points!

Find all sides of a right triangle whose perimeter is equal to 60 cm and its area is equal to 150 square cm

Answers

Answer:

15cm by 20cm by 25cm

Step-by-step explanation:

Let the sides of the right angle be x, y and h

x is the breadth

y is the height

h is the hypotenuse

Perimeter = x + y + h

x + y +h  = 60

x+y = 60-h .... 1

If its area is equal to 150 square cm, then;

Area = 1/2 * base * height

Area = 1/2 *x * y

xy/2 = 150

xy = 300 ....2

According to pythagoras theorem;

x² + y² = h²

On expanding x² + y²

x² + y² = (x+y)² - 2xy

The equation becomes

(x+y)² - 2xy = h² ... 3

Substitute equation 1 and 2 into 3;

From 3;

(x+y)² - 2xy = h² ... 3

(60-h)² - 2(300) = h²

3600-120h + h² - 600 = h²

3600-120h - 600 = 0

-120h = 600-3600

-120h = -3000

h = 3000/120

h = 25cm

Recall that x+y+h = 60

x+y+25 = 60

x+y = 60 - 25

x+y = 35 ... 4

From equation 2;

xy = 300

x = 300/y ..... 5

Substitute 5 into 4;

300/y + y = 35

(300+y²)/y = 35

300+y² = 35y

y²-35y + 300 = 0

y²-20y-15y + 300 = 0

y(y-20)-15(y-20) = 0

y-20 = 0 and y - 15 =0

y = 20 and 15

since x+y = 35

x + 20 = 35

x = 35 - 20

x = 15

Hence the sides of the triangle are 15cm by 20cm by 25cm

can you guys please help me?

Answers

Frequency means how often a number or something appears.

so,

2

4

3

5

Missy uses 1 hexagonal, 3 rectangular, and 4 triangular pieces of fabric to make 1 bug design for a quilt. If she uses 80 pieces in all to make bug designs, how many of each shape does she use?

Answers

Answer:10 hexagonal, 30 rectangular and 40 triangular pieces of fabrics

Step-by-step explanation:

This question is a ratio/proportion question

The ratio of hexagonal pieces use to rectangular pieces used and to triangular pieces used can be expressed as 1:3:4

Total pieces of fabrics used = 80

Total ratio = 1 + 3 + 4 = 8

We can calculate each ratio as a proportion of the total ratio

pieces of hexagonal used = (1/8) * 80 =10

Pieces of rectangular used = (3/8) * 80 =30

Pieces of triangular used = (4/8) * 80 = 40

And hence the pieces of each shapes used will be 10 hexagonal, 30 rectangular and 40 triangular pieces of fabrics

And the total number of bugs designs made = (80/8) = 10 (since it will require 8 pieces of fabrics(1 + 3 +4) to make a bug design)

⚠️I mark brainlist⚠️What is the simplified value of the exponential expression 16^1/4 ?
O1/2
O1/4
O2
O4

Answers

Answer:

2

Step-by-step explanation:

PLZZZZZ HELP MEEE
Which situation can be represented by 17.35x > 624.60?



A. A waitress had received a $17.35 tip. This brought her total in tips to more
than $624.60. How much money in tips did she have before the $17.35 tip?


B. Brianda made a deposit of $17.35 into a savings account. This brought the
total in her savings account to $624.60. How much money did she have in
this savings account before she made the deposit?


C. A dozen tamales cost $17.35 including tax. How many dozen tamales can a
customer buy with $624.60?


B. Darren earns $17.35 per hour at his job. How many hours does he need to
work in order to earn more than $624.60?

Answers

Answer:

B?

Step-by-step explanation:

I am assuming the > is meant to be an = though

Evaluate this and answer as your choice
25 2/3

Answers

Answer:        Exact Form: 77/3  Decimal Form: 25.6  

Mixed Number Form: 25 2/3

Step-by-step explanation:

7/8x + 3/4x + 7/16x - 1/16 = 5/8 pls pls pls help fast 20 POINTS!!

Answers

Answer:

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

Add 7/8x + 3/4x + 7/16x

33/16x - 1/16 = 10/16

Add 1/16

33/16x = 11/16

Multiply by reciprocal.

X = 1/3

Hope this helps. Pls give brainliest.

Evaluate the expression when p=5.
p2 - 17

Answers

Answer:

-7

Step-by-step explanation:

If p=5 then p times 2 equals 10.

10 - 17 = -7

Answer:

-7

Step-by-step explanation:

p2 - 17 will be turned into

(5)2 - 17 (multiply)

10 - 17 (subtract)

= -7

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