How do you simplify $\frac{4^{7}}{4^{5}}$ $4^7/4^5$ ?

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How do you simplify $\frac{4^{7}}{4^{5}}$ $4^7/4^5$ ?

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Answer 1 · 2016-12-26T14:13:08

16

Explanation:

First, we can use the rule of exponents which states:

$\frac{x^{a}}{x^{b}} = x^{a - b}$ $color(blue)(x)^color(red)(a) / color(blue)(x)^color(red)(b) = color(blue)(x)^color(red)(a - b)$

So,

$\frac{4^{7}}{4^{5}} = 4^{7 - 5} = 4^{2} = 4 \cdot 4 = 16$ $color(blue)(4)^color(red)(7) / color(blue)(4)^color(red)(5) = color(blue)(4)^color(red)(7 - 5) = color(blue)(4)^color(red)(2) = color(blue)(4) * color(blue)(4) = 16$

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How do you simplify $\frac{4^{7}}{4^{5}}$ $4^7/4^5$ ?

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