Question

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

Answer 1

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:

• $\sqrt[a]{b^c} = b^{\frac ca}$

Simplify

• $\sqrt[3]{125}* \sqrt[3]{x^6} * \sqrt[3]{y^{15}}*\sqrt[3]{z^3}$
• $5^{\frac33}*x^{\frac63}*y^{\frac{15}{3}}*z^{\frac33}$
• $5 * x^2 * y^5 * z$
• $5x^2y^5z$

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

Answer 2

The second answer of the question is correct