Question
Express the following in exponential form: $\frac{-1296}{14641}$
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Answer
Given, $\frac{-1296}{14641}$
Since, $(6) × (6) × (6) × (6) = 1296 = (6)^4$ and $11 × 11 × 11 × 11 = 14641 = (11)^4$
Exponential form of $\frac{-1296}{14641}=-\frac{(6)^4}{(11)^4}=-\big(\frac{6}{11}\big)^4$
Since, $(6) × (6) × (6) × (6) = 1296 = (6)^4$ and $11 × 11 × 11 × 11 = 14641 = (11)^4$
Exponential form of $\frac{-1296}{14641}=-\frac{(6)^4}{(11)^4}=-\big(\frac{6}{11}\big)^4$
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