The value of (0.03125)-2/5 is · ABC26GN1912

Subject: General Aptitude · Chapter: Surds and Indices · Exam: R.R.B. 2006

The value of $(0.03125)^{-\frac{2}{5}}$ is

(a)4

(b)9

(c)12

(d)31.25

Answer

Answer (as printed): A

Explanation

$$\begin{aligned} (0.03125)^{-\frac{2}{5}} & =\left[(0.5)^{5}\right]^{-\frac{2}{5}}=0.5^{\left[5 \times\left(-\frac{2}{5}\right)\right]}=(0.5)^{2-} \\ & =\frac{1}{(0.5)^{2}}=\frac{1}{0.25}=4 \end{aligned}$$

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