Question

The exponential form of $\frac{1}{(2{)}^3}$ × $(3{)}^{-3}$ is given by which of the following expressions?

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

Answer 1

The correct option is B

$6^{-3}$

$\frac{1}{(2{)}^3}$ × $(3{)}^{-3}$

= $2^{-3}$ × $(3{)}^{-3}$ ($\because a^{-m}=\frac{1}{a^m}$)

= $6^{-3}$ ($\because a^m\times b^m=(a\times b{)}^m$)