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

Question

asked Oct 17, 2019 227k views

2 Answers

Fcortes · Answer 1 · 2019-10-23T12:15:46+0000

We are given expression :
((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,
(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*5)= c^(20) .