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Q.
Find the multiplicative inverse of $8^{-6}$.
Indices
Solution:
We have, $8^{-6}=8^6$
As we know that for any non-zero integer $a$, $a^{-m}=\frac{1}{a^m}$ where $m$ is a positive integer. $a^{-m}$ is the multiplicative inverse of $a^{\mathrm{m}}$.