Question

$( { \frac{1}{4} } ) ^{15} \div ({ \frac{1}{2} })^{30} =$

Answer 1

(1/4)^15 : (1/2)^30 =

((1/2)²)^15 : (1/2)^30 =

(1/2)^30 : (1/2)^30 =

1

Answer 2

$\it \left(\dfrac{1}{4}\right)^{15}:\left(\dfrac{1}{2}\right)^{30}= \left(\dfrac{1}{4}\right)^{15}:\left[\left(\dfrac{1}{2}\right)^2\right]^{15}= \left(\dfrac{1}{4}\right)^{15}:\left(\dfrac{1}{4}\right)^{15}=1$