The correct option is C 125(25)^3 ÷ 5^3=(5^3)^2 ÷ 5^3 =(5)^6 ÷ 5^3 =(5)^6 3 =(5)^3 =125 ...

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Quotient Law

Evaluate 253÷...

Question

Evaluate $(25)^{3} \div 5^{3}$

128

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256

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125

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Solution

The correct option is C 125
$(25)^{3} \div 5^{3}$
$= (5^{2})^{3} \div 5^{3}$
$= (5)^{6} \div 5^{3} [Using (a^{m})^{n} = (a)^{m \times n}]$
$= (5)^{6 - 3} [Using (a^{m}) \div (a^{n}) = (a)^{m - n}]$
$= (5)^{3}$
$= 125$

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