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satela [25.4K]
2 years ago
12

Which expression is equivalent to 3sqrtx^5y?

Mathematics
1 answer:
slamgirl [31]2 years ago
3 0

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.

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