Practice | Hashtable

Home > Practice > Arithmetic Aptitude > Surds and Indices > Miscellaneous

1. (0.04)^-1.5 = ?

A. 25

B. 125

C. 250

D. 625

Solution:

\begin{aligned} {(0.04)}^{- 1.5} = {(\frac{4}{100})}^{- 1.5} \\ = {(\frac{1}{25})}^{- (3 / 2)} \\ = {(25)}^{(3 / 2)} \\ = {(5^{2})}^{(3 / 2)} \\ = {(5)}^{2 \times (3 / 2)} \\ = 5^{3} \\ = 125 \end{aligned}

You must login to add comments. Login now.