Simplify Expressions

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(cd)^5

Oct 3rd, 2015

Thank you for the opportunity to help you with your question! Hope your day is going well!

This is a law of exponents problem. When an exponent is raised to an exponent, you multiply them.

So inside the parenthesis, c is technically raised to the 1 power  and d is technically raised to the 1 power.

So, 5 x 1=5

5 x 1=5

Therefore

c^(1 x 5) * d^(1 x 5)

= c^5 * d^5.

You cannot do anything else. There is also an identity

(a * b)^n=a^n * b^n.

Either way is a great way of thinking about it.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 16th, 2015

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Oct 3rd, 2015
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Oct 3rd, 2015
Jun 28th, 2017
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