Question 179(i)

Express each of the following in exponential form.
$\frac{- 1296}{14641}$

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Solution

Given, $\frac{- 1296}{14641}$
Since, $(6) \times (6) \times (6) \times (6) = 1296 = (6)^{4} a n d 11 \times 11 \times 11 \times 11 = 14641 = (11)^{4}$
Exponential form of $\frac{- 1296}{14641} = - \frac{(6)^{4}}{(11)^{4}} = - {(\frac{6}{11})}^{4}$

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