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

User Max Fahl
by
5.2k points

2 Answers

1 vote

Answer:

c20

Explanation:

User Chitwarnold
by
4.8k points
3 votes

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).

Therefore, final answer is
c^(20).


User Fcortes
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5.2k points