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Popular >

simplify (a^{-2}b^4)/(3a^{-3)}

Solution

simplify

\frac{a ^{- 2} b ^{4}}{3 a ^{- 3}}

Solution

\frac{a b ^{4}}{3}

Solution steps

\frac{a ^{- 2} b ^{4}}{3 a ^{- 3}}

Apply exponent rule:

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

\frac{a ^{- 2}}{a ^{- 3}} = a^{- 2 - (- 3)}

= \frac{a ^{- 2 - (- 3)} b ^{4}}{3}

- 2 - (- 3) = 1

= \frac{a ^{1} b ^{4}}{3}

Apply exponent rule:

a^{1} = a

a^{1} = a

= \frac{a b ^{4}}{3}

Popular Examples

factor a^2b^8-c^2 factor

a^{2} b^{8} - c^{2}

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4 k^{2} + 28 k + 48

(14a)/(11)> 4/3

\frac{14 a}{11} > \frac{4}{3}

simplify (7a)/(a^2-p^2)-1/(a-p)simplify

\frac{7 a}{a ^{2} - p ^{2}} - \frac{1}{a - p}

13 = \frac{r}{9} + 8

Frequently Asked Questions (FAQ)

What is (a^{-2}b^4)/(3a^{-3)} ?
The solution to (a^{-2}b^4)/(3a^{-3)} is (ab^4)/3