Express $4^{7} : 4^{5}$ in simplest form.

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Solution

Explanation:
$4^{7} : 4^{5} = \frac{4^{7}}{4^{5}} = \frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4 \times 4 \times 4} = \frac{4 \times 4}{1} = \frac{16}{1} = 16 : 1$
hence, the simplest form of $4^{7} : 4^{5}$ is $16 : 1$ .

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