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3 votes
Which expression is equivalent to ^3 sqrt x^10?

A) ^3 sqrt 3x^3+x
B) ^3 sqrt 3x^3 times x
C) ^3 sqrt x^3+x^3+x^3+x
D) ^3 sqrt x^9 times x

2 Answers

2 votes

Answer:


Explanation:

The answer id D, ^3 sqrt x^9 times x

User Johan Kaving
by
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4 votes

Answer:


\sqrt[3]{x^(10)}=\sqrt[3]{x^9 *x}

Explanation:

Given expression is
\sqrt[3]{x^(10)}

WE can break the exponent x^10

a^m+n= a^m* a^m (apply this product property)

10 can be written as 3+3+3+1

x^10 can be written as x^3 *x^3 *x^3 *x^1

or x^10 can be written as x^9 *x

So
\sqrt[3]{x^(10)}=\sqrt[3]{x^9 *x}

User Enedil
by
8.5k points

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