Question

Simplify the following [{(625)⁻¹/²}⁻¹/⁴]² .

Answer 1

Answer:

(625)ki power 8

Explanation:

Hope it will be help you

Answer 2

[{(625)⁻¹/²}⁻¹/⁴]² = 5

Explanation:

[{(625)⁻¹/²}⁻¹/⁴]²  

In exponentiation, the powers can be solved algebraically. So let us take the powers separately.

-1/2 * -1/4 * 2 = + 1/4 is the effective power of 625.

625 can be written in the form of its factors as 5 * 5 * 5 * 5 = 5^4

So  [{(625)⁻¹/²}⁻¹/⁴]² = (625)^(1/4) = (5^4)^(1/4)  

Let's consider the powers separately, we get effective power is 4 * 1/4 = 1.

So (5^4)^(1/4) = 5^1 = 5.

Hence solved.

[{(625)⁻¹/²}⁻¹/⁴]² = 5