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The value of (625)−12.(625)^{-\frac{1}{2}}.(625)−21​.​ is ___________.
Question

The value of (625)12.(625)^{-\frac{1}{2}}.​ is ___________.

A.

2.5

B.

25

C.

0.04

D.

0.25

Correct option is C

Given:

(625)12(625)^{-\frac{1}{2}}​​

Concept Used:

a12=1aa^{-\frac{1}{2}} = \frac{1}{\sqrt{a}}

Solution:

(625)12=1625=125(625)^{-\frac{1}{2}} = \frac{1}{\sqrt{625}} = \frac{1}{25} = 0.04

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