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Popular >

simplify (7^{-5})/(7^{-3)}

Solution

simplify

\frac{7 ^{- 5}}{7 ^{- 3}}

Solution

\frac{1}{49}

+1

Decimal Notation

0.02040 \dots

Solution steps

\frac{7 ^{- 5}}{7 ^{- 3}}

Apply exponent rule:

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

= 7^{- 5 - (- 3)}

Apply rule

- (- a) = a

= 7^{- 5 + 3}

Add/Subtract the numbers:

- 5 + 3 = - 2

= 7^{- 2}

Apply exponent rule:

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

= \frac{1}{7 ^{2}}

7^{2} = 49

= \frac{1}{49}

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Frequently Asked Questions (FAQ)

What is (7^{-5})/(7^{-3)} ?
The solution to (7^{-5})/(7^{-3)} is 1/49