Question 179(ii)

Express each of the following in exponential form.
$\frac{- 125}{343}$

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Solution

Given, $\frac{- 125}{343}$
Since, $(- 5) \times (- 5) \times (- 5) = - 125 = (- 5)^{3} a n d 7 \times 7 \times 7 = 343 = (7)^{3}$
Exponential form of $\frac{- 125}{343} = \frac{(- 5)^{3}}{(7)^{3}} = {(\frac{- 5}{7})}^{3}$

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