Which expression is equivalent to 3 square root of 125x6y15z3?

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asked Sep 11, 2019 188k views

2 Answers

Psteelk · Answer 1 · 2019-09-15T13:26:48+0000

Assuming this expression is:
$\sqrt[3]{125x^6y^(15)z^3}$ , we can take the cube roots of each of the individual terms 125,
x^6, y^(15), z^3

. The cube root of 125 is 5, while the cube root of the exponents is simplified by dividing each exponent by 3. This results in the answer of:
$5x^{(6)/(3)}y^{(15)/(3)}z^{(3)/(3)} = 5x^2y^5z$

Which expression is equivalent to 3 square root of 125x6y15z3?

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