1 Answer

Eliwedel · Answer 1 · 2019-08-09T08:31:22+0000

For this case we have, by definition:

a^(-b) =(1)/(a ^ b)

So, we have:

$(1)/(4)^{-(1)/(2)}=\frac{1}{((1)/(4))^{(1)/(2)}}$

On the other hand we have that by definition:

$a^{(1)/(2)}=√(a)$

Thus, the expression can be written as:

$\frac{1}{\sqrt {(1)/(4)}} =$

(1)/((1)/(√(4)))

(1)/((1)/(2))

(1*2)/(1*1)=2

So, we have:

$(1)/(4)^{-(1)/(2)}= 2$

Answer:

$(1)/(4)^{-(1)/(2)}= 2$

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