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I got this wrong can someone pls help me correct it?

I got this wrong can someone pls help me correct it?-example-1
User Rik Van Den Berg
by
2.9k points

1 Answer

19 votes
19 votes

Given the expression:


(8n^6)^{(5)/(3)}

Let's simplify the expression.

First rewrite 2³ for 8:


(2^3n^6)^{(5)/(3)}

To simplify the expression, apply distributive property and distribute the exponent outside the parentheses to the terms.

We have:


2^{3*(5)/(3)}*n^{6*(5)/(3)}

Simplify the exponents:


\begin{gathered} 2^5n^{(6*5)/(3)} \\ \\ 2^5n^{(30)/(3)} \\ \\ 2^5n^(10) \\ \\ =32n^(10) \end{gathered}

ANSWER:


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User JMM
by
2.6k points