Compute and write the result in exponential form :
${[{(- 9)}^{4}]}^{2}$

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Solution

Find the required exponential form
Given ${[{(- 9)}^{4}]}^{2}$
using the property of ${(a^{m})}^{n} = a^{m \times n}$
So, ${[{(- 9)}^{4}]}^{2} = {(- 9)}^{4 \times 2} = {(- 9)}^{8}$
Hence, the exponential form of ${[{(- 9)}^{4}]}^{2}$ is ${(- 9)}^{8} .$

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