Question

The exponential form of $\frac{1}{8}\times 3^{-3}$ is given by which of the following expressions?

• A. $6^{-3}$
• B. $4^{-2}$
• C. $3^{-6}$
• D. $5^{-3}$

Answer 1

The correct option is A

$6^{-3}$

$\frac{1}{8}\times 3^{-3}=\frac{1}{2^3}\times 3^{-3}$

$=2^{-3}\times 3^{-3}(\because \text{For}a\ne 0,\frac{1}{a^m}=a^{-m})$

$=(2\times 3{)}^{-3}(\because a^m\times b^m=\left(ab{)}^m\right)$

$=6^{-3}$