Question

Answer 1

\(h,\left(\dfrac{1}{2}\right)^5.\left(\dfrac{1}{4}\right)^2=\left(\dfrac{1}{2}\right)^5.\left[\left(\dfrac{1}{2}\right)^2\right]^5=\left(\dfrac{1}{2}\right)^5.\left(\dfrac{1}{2}\right)^{10}=\left(\dfrac{1}{2}\right)^{15}=\dfrac{1}{32768}\)

Answer 2

\(i,\left(\dfrac{5}{2}\right)^8.\left(\dfrac{4}{5}\right)^8=\left(\dfrac{5}{2}.\dfrac{4}{5}\right)^8=2^8=256\)

\(k,\left(-\dfrac{3}{4}\right)^4.\left(-\dfrac{9}{8}\right)^4=\left[-\dfrac{3}{4}.\left(-\dfrac{9}{8}\right)\right]^4=\left(\dfrac{27}{32}\right)^4\)