Question

125^1/3×5^1/3 Evaluate​

Answer 1

Answer:

Value \: of \: (25)^{\frac{1}{3}} \times (5)^{\frac{1}{3}}=5

Step-by-step explanation:

We \: have (25)^{\frac{1}{3}} \times (5)^{\frac{1}{3}}

=\big(25 \times 5\big)^{\frac{1}{3}}

/* By Exponential Law:

\boxed {a^{n}\times b^{n}=(ab)^{n}} */

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

=\big(5^{3}\big)^{\frac{1}{3}}

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

/* By Exponential Law:

\boxed {(a^{m})^{n}=a^{mn}}*/=5

Therefore,

Value \: of \: (25)^{\frac{1}{3}} \times (5)^{\frac{1}{3}}=5

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PLEASE MARK AS BRAINLIEST

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