Question

Find the value of $({36}^3{)}^{-3}$.

• A. $\left({36}^{-9}\right)$
• B. $\left({36}^9\right)$
• C. $\left(6^{18}\right)$
• D. $\left(6^{-18}\right)$

Answer 1

Answer: (A), (D)

The correct options are
A $\left({36}^{-9}\right)$
D $\left(6^{-18}\right)$

Given, $({36}^3{)}^{-3}$.

$({36}^3{)}^{-3}$
$={36}^{3\times -3}$ $\left[\text{Using}\right(a^m{)}^n=a^{mn}]$
$={36}^{-9}$
$=(6^2{)}^{-9}$
$=(6{)}^{2\times -9}$ $\left[\text{Using}\right(a^m{)}^n=a^{mn}]$
$=6^{-18}$