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Popular >

simplify (3^4)/(3^7)

Solution

simplify

\frac{3 ^{4}}{3 ^{7}}

Solution

\frac{1}{27}

+1

Decimal Notation

0.03703 \dots

Solution steps

\frac{3 ^{4}}{3 ^{7}}

Apply exponent rule:

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

= 3^{4 - 7}

Subtract the numbers:

4 - 7 = - 3

= 3^{- 3}

Apply exponent rule:

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

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

3^{3} = 27

= \frac{1}{27}

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Frequently Asked Questions (FAQ)

What is (3^4)/(3^7) ?
The solution to (3^4)/(3^7) is 1/27