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Popular >

simplify 4^n*3^{-n}

Solution

simplify

4^{n} \cdot 3^{- n}

Solution

\frac{4 ^{n}}{3 ^{n}}

Solution steps

4^{n} \cdot 3^{- n}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

3^{- n} = \frac{1}{3 ^{n}}

= 4^{n} \cdot \frac{1}{3 ^{n}}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 ^{n} \cdot 1}{3 ^{n}}

Apply rule:

a \cdot 1 = a

4^{n} \cdot 1 = 4^{n}

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

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Frequently Asked Questions (FAQ)

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