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Popular >

simplify (4^n)/(2^m)

Solution

simplify

\frac{4 ^{n}}{2 ^{m}}

Solution

2^{2 n - m}

Solution steps

\frac{4 ^{n}}{2 ^{m}}

Factor

4^{n} : 2^{2 n}

= \frac{2 ^{2 n}}{2 ^{m}}

Apply exponent rule:

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

= 2^{2 n - m}

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Frequently Asked Questions (FAQ)

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