Simplify: $(\frac{1}{3^{3}})^{7}$

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Solution

Simplification of the expression $(1 / 3^{3})^{7}$
Exponent and Power:
Simplify:
$\begin{array}{rcl} {(1 / 3^{3})}^{7} & = & {(3^{- 3})}^{7} \\ = & 3^{- 21} [∵ {(a^{m})}^{n} = a^{m x n}] \end{array}$
Then, the equation can be written as $3^{- 21}$
Therefore, the value of the expression is ${(1 / 3^{3})}^{7} = 3^{- 21}$ .

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