Indices Home Learning
Simplify the following, leaving your answers in index notation.
1. (39)
2. Zf x 9f
38
3. 124 x 1210
4. (6m)
5. 252-3
6. 42g? = 7g?
7. 39 x 36
35
8. 116 x 116
112 x 11
Solve the following.
9. 7-2
10. 3-3

Indices Home LearningSimplify The Following, Leaving Your Answers In Index Notation.1. (39)2. Zf X 9f383.

Answers

Answer 1

Answer:

We know that,

[tex](a^{x}) ^{y} =a^{xy}[/tex]

[tex]a^{x} *a^{y} =a^{x+y}[/tex]

[tex]\frac{a^{x} }{a^{y} } =a^{x-y}[/tex]

Let's solve now.

1) [tex](3^{8})^{4} =3^{32}[/tex]

2)  [tex]7f^{3} * 9f^{9} =63f^{12}[/tex]

3) [tex]12^{4} *12^{10} =12^{14}[/tex]

4) [tex](6m^{5} )^{3} =6m^{15}[/tex]

5)  [tex]\frac{2^{5} }{2^{-3} } =2^{8}[/tex]

6)  [tex]\frac{42g^{7} }{7g^{2} } =6g^{5}[/tex]

7)  [tex]\frac{3^{9}*3^{6} }{3^{5} } =\frac{3^{15} }{3^{5} } =3^{10}[/tex]

8)  [tex]\frac{11^{6}*11^6 }{11^2*11^3} =\frac{11^{12}}{11^5} =11^7[/tex]

9) [tex]7^{-2} =\frac{1}{7^2} =\frac{1}{49}[/tex]

10) [tex]3^{-3} =\frac{1}{3^3} =\frac{1}{27}[/tex]

Hope this helps you.

Let me know if you have any other  questions :-)


Related Questions

A class is collecting aluminum cans. Every Monday each student brings in a bag with 10 cans. They put 10 bags into a box. How many boxes do they need to hold 1000 cans

Answers

Answer:

the answer is 100.

Step-by-step explanation:

divide 1000 by 10

The number of boxes required to hold 1000 cans is 100 bags.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, every Monday each student brings in a bag with 10 cans.

They put 10 bags into a box.

So, number of boxes required to hold 1000 cans

= 1000/10

= 100 bags

Therefore, the number of boxes required to hold 1000 cans is 100 bags.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

help me please

A


B


C


D


E

F

Answers

Answer:

F because you cannot prove that any of the angles are the same with only one set of parallel lines

by what i have learned in math my 4 years this is e

HELP ME please please please

Answers

Answer:

d.

took the test

Step-by-step explanation:


I really need help again any boady that can help that would be awsome I just need to know. Which goes to which Thankyou for the help

Answers

Answer:

1.A

2.D

3.B

4.C

5.D

6.A

7.C

8.C

9.D

Step-by-step explanation:

PLEASE HELP ME FAST IF YOU CAN

Answers

Answer:

1. 180°

2. m∠AOB

3. 60° + 90 ° + 30 ° = 180 °

4. x = 15

Step-by-step explanation:

Reason for number 1:

All straight lines are 180°

Reason for number 2:

These angles all add up to 180° and the line with this angle is m∠AOB.

fill in the blank to make the fractions equivalent. 1/2 ?/10​

Answers

Answer:

5/10

Step-by-step explanation:

1/2 = 2/4 = 3/6 = 4/8 = 5/10

5/10

Answer:

5

Step-by-step explanation

multiply numerator and denominator with constant. 2*5 is 10, so 1*5=5, hence, 5/10

Please see screenshot.
Could someone help?

Answers

Answer:

56/100

Step-by-step explanation:

The decimal place has 2 digits which indicates two zeros. So the denominator will be 100. And 56 will become the numerator.

Answer: 51/90

First set x equal to the decimal (we will solve for x):
x = 0.5666666666...

Now find 10x (we want to get the recurring digit right after the decimal point):
10x = 5.66666666666...

Next we can subtract x from 10x:
9x = 5.1

We can now get x by dividing both sides by 9:
x = 5.1/9

We can’t have a decimal in a fraction so we can multiply the top and bottom numbers by 10:
x = 51/90

Hope this helps!

a(-3)=5 What will a equal

Answers

Answer:

a = - 5/3

Step-by-step explanation:

Use the distributive property to write an expression that is equivalent to 8 + 24x

Answers

Answer:

8(3x + 1)

Step-by-step explanation:

8 and 24 are multiples of 8

(8/8) + (24x/8) = 1 + 3x

The equation with distributive property is 8(1 + 3x)

-Chetan K

8(3x+1)

when you multiply 8x3 it equals 24

10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?

Answers

Answer:

135

Step-by-step explanation:

27 x 5 =135

Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?

b) Find the fraction of the watermelon that remains.

Answers

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

I need help please! It’s due tonight and I don’t know.

Answers

Answer:

i think the first question is yes and the second one is no

Step-by-step explanation:

PLS HELP AMSWER ANYONE PLS ILL GIVE BRAINLKEST THANKS

Answers

Answer:

5. w ≠ 8

Step-by-step explanation:

#1 is the expression for "The amount of water is greater than eight ounces."  This technically means it differs from eight ounces, but it's too specific for what the question is asking.

#2 is the expression for "The amount of water is greater than or equal to eight ounces." It doesn't necessarily differ from eight ounces.

#3 is the expression for "The amount of water is less than eight ounces."  Same issue as #1.

#4 is the expression for "The amount of water is greater than eight ounces."  Same issue as #2.

#5 is the expression for "The amount of water is not equal to eight ounces." This is the correct expression as the only information we know is that it's not eight ounces.

Type the missing digit in this number
7,587_64 is divisible by 8.

Answers

0! 7587064 is divisible by 8

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

Find the value for x
15 points for you plus brainliest, 5 star and thanks on answer and profile

Answers

Answer:

117 units

Step-by-step explanation:

you eat 3/10 of a packet
of donuts. your friend eats 1/5 of
the pack of donuts. How much of
the pack do you and your friend
eat?

Answers

Answer:

5/10 or 1/2 is the answer I think

What is Integration ?

Answers

Answer:

Integration is the act of bringing together smaller components into a single system that functions as one. These links usually are established between the components of the process and control layer of each system to promote the free flow of data across systems.

Answer:

Integration is the action or process of integrating.

Step-by-step explanation:

The profit P in dollars, gained by selling x computers is modeled by p = -5x²+1000x+5000. How many computers must be sold to obtain a profit of 55,000,00

Answers

Answer:

[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]

solve for x

Step-by-step explanation:

55,000,00=-5x²+1000x+5000

collect like terms

5x²-1000x= -55,000,00+5000

5x²-1000x = -45000

x²=-45000/5=-9000

x²=square root of 9000=3000

recall

5x²-1000x=3000

-1000x=3000

divide both side by coefficient of x

x= -3

Leaks can write a 500 word essay in an hour. If she writes an essay in 10 minutes, about how many words do you think the essay contains. PLEASE TELL ME HOW TOU DID IT! WILL MARK BRAINLIEST

Answers

Answer:

83.3

Step-by-step explanation:

Alright so

She can write 500 words per hour

An hour is 60 minutes

500 divided by 6 (because 6x10= 60)

so you get est. 83 words per 10 mins.

To double check, do 83x6= 498, which is because the 83, is 83.3 (repeating)

6 * 2 /( -1)4* 5-(8+3)

Answers

Answer:

−251

Step-by-step explanation:

Answer:

6 x 2 / (-1) x 5 - (8 + 3)

6 x 2 / (-1) x 5 - 11

12 / -1 x 5 - 11

-12 x 5 -11

-60 - 11

-71

Step-by-step explanation:

hope this helped if not then i am sorry good luck

every summand of an expression is called a???

Answers

Answer:

I think it's called a term.

Hope this helps :)

A phone company charges $25.00 a month for 500 minutes.
Every minute over 500 cost $0.75. If a customer uses 530
minutes how much will their monthly bill amount to?

Answers

Answer:

$47.50

Step-by-step explanation:

75 times 30 is 2,250, so then we put back the decimal and its 22.50, add that to 25.00, your answer is 47.50

write 28 + 24 as a product of two factors using the greatest common factor and the distributive property

Answers

Answer:

4 * 13

Step-by-step explanation:

Okay, so we have to use the distributive property to solve this. We know 28 and 24 have a common factor of 4. If we factor a 4 out of 28 + 24, then we get 4 * (7 + 6). Adding 7 + 6, we get 13. Therefore, we get 4 * 13.

If 5mi ≈ 8km, how many miles would be equal to 50 km

Answers

Answer:

Too tired to go into detail so I just showed steps

Step-by-step explanation:

5mi = 8km ~~ Original

5/8mi = 1km ~~ Get 1km isolated

250/8mi = 50km ~~ Get 50km now

[tex]\left \{ {{y=2} \atop {x=2}} \right. x_{123}[/tex]

Answers

Answer:

if a joke i dont know


[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly​

Answers

Their is not picture please upload one

A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence?

f(x) = 24(Three-halves) Superscript x minus 1
f(x) = 16(Three-halves) Superscript x minus 1
f(x) = 24(Three-halves) Superscript x
f(x) = 16(Three-halves) Superscript x

Answers

Answer:

f(x) = 16*(3/2)^(x-1)

Step-by-step explanation:

See attachment.

Answer:

B

Step-by-step explanation:

Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51

Answers

[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]

Solve for x

x+0.15x=3.45

Answers

Answer:

thanks for the points new comer you will get use to it

Suppose that the functions u and w are defined as follows.
u(x) =
=-x-1
w(x) = 2x² +1
Find the following.

Answers

Step-by-step explanation:

(a○b)(x) is the same as a(b(x)).

it is really that simple.

first you calculate the result of the inner function, and then that result is the input for the outer function.

that's it.

so,

(w○u)(2) = w(u(2))

u(2) = -2 -1 = -3

w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19

so, 19 is the first answer.

(u○w)(2) = u(w(2))

w(2) = 2×2² + 1 = 2×4 + 1 = 9

u(9) = -9 - 1 = -10

so, -10 is the second answer.

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