Question

Simplify completely. (c6/c2)5 Enter your answer in the box.

Answer 1

Answer:

c20

Step-by-step explanation:

Answer 2

We are given expression : $(\frac{c^6}{c^2})^5.$.

We need to simplify it.

First we need to apply quotient rule of exponents.

According to quotient rule of exponents, we need to subtract powers.

Therefore, $\frac{c^6}{c^2} = c^{6-2} = c^4$.

Now, we need to apply exponents of exponent rule in next step.

According to exponents of exponent rule, we need to distribute whole exponent inside exponent.

Therefore, $(c^4)^5 = c^{4\times5}= c^{20}$.

Therefore, final answer is $c^{20}$.