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Popular >

simplify (-3^5)/(-3^8)

Solution

simplify

\frac{- 3 ^{5}}{- 3 ^{8}}

Solution

\frac{1}{27}

+1

Solution steps

\frac{- 3 ^{5}}{- 3 ^{8}}

Apply exponent rule:

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

= \frac{- 3 ^{5 - 8}}{- 1}

Subtract the numbers:

5 - 8 = - 3

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

Apply the fraction rule:

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

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

Apply rule

\frac{a}{1} = a

= 3^{- 3}

Apply exponent rule:

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

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

3^{3} = 27

= \frac{1}{27}

Popular Examples

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1 0^{3} + (- 2)^{3}

4\times 2-6\div 3+3\times 2\times 4

4 \times 2 - 6 \div 3 + 3 \times 2 \times 4

Frequently Asked Questions (FAQ)

What is (-3^5)/(-3^8) ?
The solution to (-3^5)/(-3^8) is 1/27