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Exponents with Unlike Bases and Same Exponent

Using laws of...

Question

Using laws of exponents, simplify and write the answer in exponential form:
${(5^{2})}^{2} \div 5^{3}$

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Solution

${(5^{2})}^{2} \div 5^{3} = 5^{2 \times 3} \div 5^{3} = 5^{6} \div 5^{3} = 5^{6 - 3} = 5^{3}$
$[∵ {(a^{m})}^{n} = a^{m n}]$
$[∵ a^{m} \div a^{v} = a^{m - v}]$

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Exponents with Unlike Bases and Same Exponent

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