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Popular >

simplify 3^n7^{-n}

Solution

simplify

3^{n} 7^{- n}

Solution

\frac{3 ^{n}}{7 ^{n}}

Solution steps

3^{n} \cdot 7^{- n}

Apply exponent rule:

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

7^{- n} = \frac{1}{7 ^{n}}

= 3^{n} \cdot \frac{1}{7 ^{n}}

Apply the fraction rule:

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

= \frac{3 ^{n} \cdot 1}{7 ^{n}}

Apply rule:

a \cdot 1 = a

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

= \frac{3 ^{n}}{7 ^{n}}

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Frequently Asked Questions (FAQ)

What is 3^n7^{-n} ?
The solution to 3^n7^{-n} is (3^n)/(7^n)