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

Which Expression Is Equivalent To 125x6y15z3 class=

Sagot :

The second answer of the question is correct
Chetankachanaidn

Answer:

[tex]5x^2y^5z[/tex]

Step-by-step explanation:

Hello!

Expand the cube root:

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

Use exponent rule:

  • [tex]\sqrt[a]{b^c} = b^{\frac ca}[/tex]

Simplify

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

The answer is [tex]5x^2y^5z[/tex].

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