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Thepotemich [5.8K]
2 years ago
15

Which expression is equivalent to √125x6^y15^z3^?

Mathematics
2 answers:
Rina8888 [55]2 years ago
7 0

Answer:

5x^2y^5z

Step-by-step explanation:

Hello!

Expand the cube root:

  • \sqrt[3]{125x^6y^{15}z^3}
  • \sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}

Use exponent rule:

  • \sqrt[a]{b^c} = b^{\frac ca}

<h3>Simplify</h3>
  • \sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}
  • 5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}
  • 5 * x^2 * y^5 * z
  • 5x^2y^5z

The answer is 5x^2y^5z.

atroni [7]2 years ago
4 0
The second answer of the question is correct
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