Question

$(625/256)^{1/4}$ =

Answer 1

Answer:

The answer is 5/4

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Answer 2

Answer:

5/4

Step-by-step explanation:

This is a sum with fractional exponent, so we have to factorise the fraction inside the bracket.

625 = 5 * 5 * 5 * 5

       = 5⁴

256 = 4 * 4 * 4 * 4

       = 4⁴

Now,

$(5^{4} /4^{4} )^{1/4}$

= $(5/4 )^{(1/4)*4}$

= (5/4)¹

⇒ 5 / 4 (or) 1.25

Hope you have understood....