The expression (3x^7)^4 is equivalent to cx^n.What is the value of c?

Answers

Answer 1

Answer: It’s 81

Step-by-step explanation:

I think it’s 81 because u use the distributive property (xy)^a=x^a y^a

and in the situation you change it into 3^4(x^7)^4 and u simplify 3^4 and get 81 and then just multiply 7 and 4 and your answer is 81x^28. 81 is c in the equation

Answer 2

We want to find an equivalent expression to (3x^7)^4 of the form cx^n, and we want to find the value of c.

The equivalent expression is:

[tex]81*x^{28}[/tex]

So the value of c is:

c = 81.

First, we need to remember two properties of exponents.

The exponents are distributive under multiplications.

And we know that:

[tex](a^n)^m = a^{n*m}[/tex]

Using these two properties, we can rewrite:

[tex](3x^7)^4 = (3^4)*(x^{7*4}) = 81*x^{28}[/tex]

So the equivalent expression is:

[tex]81*x^{28}[/tex]

Then we have c = 81.

If you want to learn more, you can read:

https://brainly.com/question/21213498

Related Questions

20 points! will mark brainliest!
A 103-foot wire is used to support a utility tower. It runs from the tower to the ground and forms a 24° angle with the ground.

Answers

Answer:

Height of Tower = 41.8901 ft

Base to Ground Wire = 94.0905 ft

Step-by-step explanation:

So you want to find the opposing side of the angle, as well as the distance from the base to where the wire is attached to the ground. You would need to use CAH to find the ground, and SOH to find the height. To find the height or opposite, take the Sine of 24°, 0.4067, and times it by your hypoteneuse 103 to get an exact height of 41.8901 ft. Next, use the Cosine of 24°, 0.9135, and times that by your hypoteneuse 103 to get 94.0905 ft.

Here are the equations:

sin(24)=[tex]\frac{h}{103}[/tex]

cos(24)=[tex]\frac{h}{103}[/tex]

The base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.

What is right angle triangle property?

In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.

[tex]\cos\theta=\dfrac{a}{c}[/tex]

Here, (a) is the adjacent side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between them.

a) The value from the base of the utility tower from the location where wire is attached to the ground

The length of the wire is 103 foot. This is the hypotenuse side of triangle made by the wire, tower, and ground.

The angle between the wire (hypotenuse side) and ground (adjacent side) is 24 degrees. Therefore, the cosine angle can be given as,

[tex]\cos (24^o)=\dfrac{a}{103}\\0.9135\times103=a\\a=94.09\rm ft[/tex]

b) The wire attached to the tower at a height of __ feet.

In a right angle triangle ratio of opposite side to the hypotenuse side is equal the sine angle between them. Let the height of the tower (opposite side) is b ft. Therefore,

[tex]\sin(24^o)=\dfrac{b}{103}\\0.4067\times103=b\\b=41.89\rm ft[/tex]

Thus, the value from the base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.

Learn more about the right angle triangle property here;

Multiply $2500 by 20% (aka 0.2) and you get $500

(They need to raise another $2,000 still)

Answer:$500

Step-by-step explanation:

We could translate the world problem,to get an equation.

20% “of” 2,500. The “of” means that you have to multiply. Convert the percent to get 0.20, and multiply it by 2,500.

0.20*2,500=500

What is 45 divided by 30

Answers

Answer:

1.5 or 1 1/2

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

put it in a fraction so its 45/30 then divide both sides by 15 since they are divisable by 15.

45/30 divided by 15/15 is 3/2 which is equal to 1.5

Sammy went to the mall and bought a shirt for $23.00 and shoes for $67.00.
She had a 35% off coupon. After the coupon was applied, what was the total
sale price for the shirt and shoes?

Answers

I think the answer is $58.50. I hope this helps

y = x-8
y = -2x +1
i need it in graph form

Answer:

This should help you with the question Click the link down below or copy and paste it

https://softmath.com/algebra-word-problems/marsha-is-changing-her-phone-service-one-data-package

Step-by-step explanation:

7(3x + 5) - 11x. Write your answer in factored form.

Answers

Answer:

5(2x+7)

Step-by-step explanation:

First distribute your 7:

21x +35 - 11x

Combine like terms

10x + 35

60 divided by 2 = 30

width = 30m

The answer for that question is 30

A horizontal line separates the solid figure into two rectangular
prisms. Write an expression for the volume of the solid figure.

Answers

Answer:

50 percent for each side

Step-by-step explanation:

An iPhone is on sale for $180. It originally cost $2.00. What percent off is the sale offering?

Answers

Answer:

10%

Step-by-step explanation

200 x 0.1 = 20

200 - 20 = 180

25. Philip spun a spinner with six sections 125 times and the results are shown in the
table.

What is the experimental probability of spinning a green?

Answers

Cheecks cheecks cheecks cheecks cheecks

The experimental probability of spinning a green will be 0.10 or 10%.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Philip spun a spinner with six sections 125 times and the results are shown in the table.

Color Frequency

Blue 25

Green 15

Purple 23

Yellow 22

Red 21

Pink 19

The experimental probability of spinning a green will be given as,

P = 15 / 150

P = 0.10 or 10%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ5

PLEASE HURRYYY ONLY 5 MINS

Answers

Answer:

It is < (less than sign)

Step-by-step explanation:

Negative numbers when they keep going up, (-11,-12,-13) they actually become less, not greater. Also heres a tip: If you see the arrows in a number line compared to these signs, try to remember them as good help cause sometimes I get confused then remember. (>,<)

Sara bought 5 sandwiches for $12.00. How much did she pay for 1 sandwich?

Answers

Answer:

$2.40

Step-by-step explanation:

5 sandwich = $12

1 sandwich = 12 ÷ 5 = $2.40

the answer $2.40 hope this helps :)

Please help me this is algebra one

Answers

Answer:

11x²-9x+14

Step-by-step explanation:

To find this just subtract the polynomials and combine like terms

we have

7x²-3x+10-( -4x²+6x-4)

Which simplifies to

11x²-9x+14

someone pls help!
Express the number in scientific notation

0.000000000044391

ුැේෞඈචොමටඉපගපයිිඅඅේෛෛඑටමවවඈ

6) SALE 90% OFF A original price! What is the sale price of an easel originally priced at $30? $ A) $33.33 B) $3.33 C) $0.33 D) $333.33

Answers

Answer:

$20.40

Step-by-step explanation:

I LOOKED IT UP

Question 2 (1 point) 1/2x + 9 = 35 Question 2 options:

x=52

x= 61

x= 88

x= 26

Answers

the answer is x=52
1/2 (52) +9 = 35

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