Question 179(iv)

Express each of the following in exponential form.
$\frac{- 625}{10000}$

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Solution

Given,
$\frac{- 625}{10000}$

Since, $5 \times 5 \times 5 \times 5 = 625 = (5)^{4} a n d 10 \times 10 \times 10 \times 10 = 1000 = (10)^{4}$

Exponential form :
$\frac{- 625}{10000} = \frac{- (5)^{4}}{(10)^{4}} = - {(\frac{5}{10})}^{4}$
$= - {(\frac{1}{2})}^{4}$

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