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Popular >

simplify (3^{-3})/(3^4)

Solution

simplify

\frac{3 ^{- 3}}{3 ^{4}}

Solution

\frac{1}{2187}

+1

Decimal Notation

0.00045 \dots

Solution steps

\frac{3 ^{- 3}}{3 ^{4}}

Apply exponent rule:

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

= 3^{- 3 - 4}

Subtract the numbers:

- 3 - 4 = - 7

= 3^{- 7}

Apply exponent rule:

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

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

3^{7} = 2187

= \frac{1}{2187}

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Frequently Asked Questions (FAQ)

What is (3^{-3})/(3^4) ?
The solution to (3^{-3})/(3^4) is 1/2187