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Popular >

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

Solution

simplify

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

Solution

\frac{1}{5764801}

+1

Decimal Notation

1.73467 E - 7

Solution steps

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

Apply exponent rule:

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

= 7^{- 5 - 3}

Subtract the numbers:

- 5 - 3 = - 8

= 7^{- 8}

Apply exponent rule:

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

= \frac{1}{7 ^{8}}

7^{8} = 5764801

= \frac{1}{5764801}

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Frequently Asked Questions (FAQ)

What is (7^{-5})/(7^3) ?
The solution to (7^{-5})/(7^3) is 1/5764801