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Popular >

simplify (2^{4n+5})/(2^{n+2)}

Solution

simplify

\frac{2 ^{4 n + 5}}{2 ^{n + 2}}

Solution

2^{3 n + 3}

Solution steps

\frac{2 ^{4 n + 5}}{2 ^{n + 2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 2^{4 n + 5 - n - 2}

Simplify

2^{4 n + 5 - n - 2} : 2^{3 n + 3}

= 2^{3 n + 3}

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Frequently Asked Questions (FAQ)

What is (2^{4n+5})/(2^{n+2)} ?
The solution to (2^{4n+5})/(2^{n+2)} is 2^{3n+3}