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Powers and Exponents

Simplify and ...

Question

Simplify and express the following in exponential form:
$25^{4} \div 5^{3}$

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Solution

$25^{4} \div 5^{3} {(5^{2})}^{4} \div 5^{3} \div 5^{3} = 5^{8 - 3} = 5^{5}$
$[∵ {(a^{m})}^{n} = a^{m n}]$

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