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Popular >

simplify (7^{-3})/(7^{-2)}

Solution

simplify

\frac{7 ^{- 3}}{7 ^{- 2}}

Solution

\frac{1}{7}

+1

Decimal Notation

0.14285 \dots

Solution steps

\frac{7 ^{- 3}}{7 ^{- 2}}

Apply exponent rule:

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

= 7^{- 3 - (- 2)}

Apply rule

- (- a) = a

= 7^{- 3 + 2}

Add/Subtract the numbers:

- 3 + 2 = - 1

= 7^{- 1}

Apply exponent rule:

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

= \frac{1}{7}

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Frequently Asked Questions (FAQ)

What is (7^{-3})/(7^{-2)} ?
The solution to (7^{-3})/(7^{-2)} is 1/7