Exercises: Simple fractions

Divide the power expression with base 75 and exponent 3 by the power expression with base 5 and exponent 5.

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$\frac{75^{3}}{5^{5}}$	$=$	$\frac{15^{3} \cdot 5^{3}}{5^{5}}$
	$=$	$\frac{3^{3} \cdot 5^{3} \cdot 5^{3}}{5^{5}}$
	↓	Shorten by $5^{5}$ .
	$=$	$3^{3} \cdot 5^{1}$
	↓	Now calculate the individual powers. $3^{3} = 3 \cdot 3 \cdot 3 = 27$ and $5^{1} = 5$
	$=$	$27 \cdot 5$
	$=$	$135$