Question

Question 179(iv)

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

Answer 1

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

Since, $5\times 5\times 5\times 5=625=(5{)}^{4}and10\times 10\times 10\times 10=1000=(10{)}^4$

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