Question

evaluate (25)1/3 (5)1/3

Answer 1

◇ Answer ◇

We Know...

x^a × y^a = (xy)^a

so, (25×5)^1/3 = 124^1/3 = 5

#SupermanINFINITY

Answer 2

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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