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Popular >

simplify (3^{n+4}-3^n)/(16)

Solution

simplify

\frac{3 ^{n + 4} - 3 ^{n}}{16}

Solution

5 \cdot 3^{n}

Solution steps

\frac{3 ^{n + 4} - 3 ^{n}}{16}

Factor

3^{n + 4} - 3^{n} : 80 \cdot 3^{n}

= \frac{80 \cdot 3 ^{n}}{16}

Divide the numbers:

\frac{80}{16} = 5

= 5 \cdot 3^{n}

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Frequently Asked Questions (FAQ)

What is (3^{n+4}-3^n)/(16) ?
The solution to (3^{n+4}-3^n)/(16) is 5*3^n