Question

Simplify the following:​

Answer 1

((625)raise to-1/2)^power -1/4}whole power2

=((625)raise to-1/2)^whole power -1/4 ×2

=((625)raise to-1/2)^power -1/2

=((625)raise to-1/2 ×-1/2

=((625)raise to1/4

=(5×5×5×5)whole raise to 1/4

=5

Thus, answer is 5

Hope it helps you

Regards

Answer 2

Answer:

Step-by-step explanation:

(625)=5^4

Let x=(625)^-1/2

=(5)^4*(1/2)=5^(-2)

So x=5^(-2)--------(1)

now {(625)^-1/2}^(-1/4)

=  x^(-1/4)=5^(-2)(-1/4)

=5^(2/4)

y=5^1/2

[{(625)^-1/2}^(-1/4)]²

=y²=(5^1/2)²

=5^(1/2*2)

=5^1

=5

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Simplest way for short answer

[{(625)^-1/2}^(-1/4)]²

=[{(5^4)^-1/2}^(-1/4)]²

Multiply all the power

=4*(-1/2)*(-1/4)*(2)

Here - and - will become plus

=4*(-1/2)(-1/4)(2)=8/8=1

so answer=5^1=5