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Trava [24]
3 years ago
13

Which expression is equivalent to ^3√x^5y?a)x5/3b)x5/3y1/3c)x3/5 yd)x3/5 y3​

Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

(x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}} \times y^{\frac{1}{3}}

Step-by-step explanation:

We are given our expression as

\sqrt[3]{x^5y}

The property of exponent says that

\sqrt[n]{x} =x^{\frac{1}{n}}

Hence

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

Another property says

(ab)^n=a^n \times b^n

Hence

(x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}} \times y^{\frac{1}{3}}

Hence option B is correct.

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Answer:

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siniylev [52]
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