Question

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

Answer 1

The second answer of the question is correct

Answer 2

`5x^2y^5z`

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^{(15)/(3)}*z^(\frac33)`
• 
  `5 * x^2 * y^5 * z`
• 
  `5x^2y^5z`

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