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Popular >

simplify (3^{-7})/(3^{-1)}

Solution

simplify

\frac{3 ^{- 7}}{3 ^{- 1}}

Solution

\frac{1}{729}

+1

Decimal Notation

0.00137 \dots

Solution steps

\frac{3 ^{- 7}}{3 ^{- 1}}

Apply exponent rule:

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

= 3^{- 7 - (- 1)}

Apply rule

- (- a) = a

= 3^{- 7 + 1}

Add/Subtract the numbers:

- 7 + 1 = - 6

= 3^{- 6}

Apply exponent rule:

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

= \frac{1}{3 ^{6}}

3^{6} = 729

= \frac{1}{729}

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Frequently Asked Questions (FAQ)

What is (3^{-7})/(3^{-1)} ?
The solution to (3^{-7})/(3^{-1)} is 1/729