Question

Which of the given options represents the exponential form of $\frac{1}{8}\times (3{)}^{-3}$ ?

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

Answer 1

The correct option is B

$6^{-3}$

$\frac{1}{8}\times (3{)}^{-3}$

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

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

$=(2\times 3{)}^{-3}$ $[\because a^m\times b^m=(a\times b{)}^m]$

$=6^{-3}$