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Question
Write the following in exponential form:
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2}\]
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Solution
\[\left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} \times \left( \frac{2}{5} \right)^{- 2} = \left( \frac{2}{5} \right)^{- 2 + \left( - 2 \right) + \left( - 2 \right)} \left\{ a^m \times a^n = a^{m + n} \right\}\]
\[ = \left( \frac{2}{5} \right)^{- 6}\]
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