What is (12a^{-3}b^{10})/(-3a^{-7)b^{-2}} ?

The solution to (12a^{-3}b^{10})/(-3a^{-7)b^{-2}} is -4a^4b^{12}

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simplify (12a^{-3}b^{10})/(-3a^{-7)b^{-2}}

simplify

\frac{12 a ^{- 3} b ^{10}}{- 3 a ^{- 7} b ^{- 2}}

- 4 a^{4} b^{12}

Solution steps

\frac{12 a ^{- 3} b ^{10}}{- 3 a ^{- 7} b ^{- 2}}

Apply the fraction rule:

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

= - \frac{12 a ^{- 3} b ^{10}}{3 a ^{- 7} b ^{- 2}}

Divide the numbers:

\frac{12}{3} = 4

= \frac{4 a ^{- 3} b ^{10}}{a ^{- 7} b ^{- 2}}

Apply exponent rule:

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

\frac{a ^{- 3}}{a ^{- 7}} = a^{- 3 - (- 7)}

= \frac{4 b ^{10} a ^{- 3 - (- 7)}}{b ^{- 2}}

Subtract the numbers:

- 3 - (- 7) = 4

= \frac{4 a ^{4} b ^{10}}{b ^{- 2}}

Apply exponent rule:

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

\frac{b ^{10}}{b ^{- 2}} = b^{10 - (- 2)}

= 4 a^{4} b^{10 - (- 2)}

Subtract the numbers:

10 - (- 2) = 12

= - 4 a^{4} b^{12}

\frac{8 v}{28 w + 21} - \frac{3 v + 10}{4 w + 3}

5 + 2 x + x^{2} = 0

\frac{3 m}{6 m}

4 x - 13 \leq 7

16 x^{2} - 112

What is (12a^{-3}b^{10})/(-3a^{-7)b^{-2}} ?
The solution to (12a^{-3}b^{10})/(-3a^{-7)b^{-2}} is -4a^4b^{12}