What is (36a^{10}b^8)/(-12a^2b^7) ?

The solution to (36a^{10}b^8)/(-12a^2b^7) is -3a^8b

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simplify (36a^{10}b^8)/(-12a^2b^7)

simplify

\frac{36 a ^{10} b ^{8}}{- 12 a ^{2} b ^{7}}

- 3 a^{8} b

Solution steps

\frac{36 a ^{10} b ^{8}}{- 12 a ^{2} b ^{7}}

Apply the fraction rule:

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

= - \frac{36 a ^{10} b ^{8}}{12 a ^{2} b ^{7}}

Divide the numbers:

\frac{36}{12} = 3

= \frac{3 a ^{10} b ^{8}}{a ^{2} b ^{7}}

Apply exponent rule:

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

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

= \frac{3 b ^{8} a ^{10 - 2}}{b ^{7}}

Subtract the numbers:

10 - 2 = 8

= \frac{3 a ^{8} b ^{8}}{b ^{7}}

Apply exponent rule:

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

\frac{b ^{8}}{b ^{7}} = b^{8 - 7}

= 3 a^{8} b^{8 - 7}

Subtract the numbers:

8 - 7 = 1

= - 3 a^{8} b

\frac{h ^{2}}{h}

- (- 3)^{4}

4 x^{3} - 28 x^{2} - 9 x + 63

\frac{2}{m + 3} + \frac{9}{m ^{2} + 8 m + 15}

3 x^{3} - 2 x^{2} - 27 x + 18

What is (36a^{10}b^8)/(-12a^2b^7) ?
The solution to (36a^{10}b^8)/(-12a^2b^7) is -3a^8b