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Laws of Exponents for Real Numbers

Simplify and ...

Question

Simplify and express in exponential form:
$25^{5} \div 5^{3}$

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Solution

$\begin{matrix} 25^{5} \div 5^{3} & = \frac{25^{4}}{5^{3}} = \frac{5^{10}}{5^{3}} = \frac{{(5^{2})}^{5}}{5^{3}} = \frac{5^{10}}{5^{3}} = 5^{7} \end{matrix}$

So, $25^{5} \div 5^{3}$ can be written as $5^{7}$ .

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