What is (2^{n+4}-2^{n+3})/(2^{n+4)} ?

The solution to (2^{n+4}-2^{n+3})/(2^{n+4)} is 1/2

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simplify (2^{n+4}-2^{n+3})/(2^{n+4)}

simplify

\frac{2 ^{n + 4} - 2 ^{n + 3}}{2 ^{n + 4}}

\frac{1}{2}

Decimal Notation

0.5

Solution steps

\frac{2 ^{n + 4} - 2 ^{n + 3}}{2 ^{n + 4}}

Factor

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

= \frac{2 ^{3 + n}}{2 ^{n + 4}}

Cancel

\frac{2 ^{3 + n}}{2 ^{n + 4}} : \frac{1}{2}

= \frac{1}{2}

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What is (2^{n+4}-2^{n+3})/(2^{n+4)} ?
The solution to (2^{n+4}-2^{n+3})/(2^{n+4)} is 1/2