Question

Which expression is equivalent to 3sqrtx^5y?

Answer 1

Answer:

The correct option is B.

Step-by-step explanation:

The given expression is

$\sqrt[3]{x^5y}$

$\sqrt[3]{x^5y}=(x^5y)^{\frac{1}{3}}$      $[\because \sqrt[n]{x}=x^{\frac{1}{n}}]$

$\sqrt[3]{x^5y}=(x^5)^{\frac{1}{3}}y^{\frac{1}{3}}$      $[\because (mn)^x=m^xn^x]$

$\sqrt[3]{x^5y}=x^{\frac{5}{3}}y^{\frac{1}{3}}$      $[\because (x^m)^n=x^{mn}]$

Therefore option B is correct.