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Which expression is equivalent to Cube root of 125 x Superscript 6 Baseline y Superscript 15 Baseline z cubed?

2 Answers

4 votes

Answer:

The answer is B on edge 9/7/2020

Explanation:

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User Jakia
by
3.8k points
7 votes

Answer:


(5x^2 )/(y^(15)z^3)

Explanation:

We want to find an expression that is equivalent to
\frac{\sqrt[3]{125x^6} }{y^(15)z^3}

We need to simplify the numerator to obtain:
\frac{\sqrt[3]{5^3(x^2)^3} }{y^(15)z^3}

We simplify further under the cube root to get:


\frac{\sqrt[3]{(5(x^2))^3} }{y^(15)z^3}

The numerator finally simplifies to:


(5x^2 )/(y^(15)z^3)

Hence the given expression is equivalent to:


(5x^2 )/(y^(15)z^3)

User Jathanasiou
by
4.4k points