What is (9a^6(-2)^9b^9)/(3a^2(-2)^3b^3) ?

The solution to (9a^6(-2)^9b^9)/(3a^2(-2)^3b^3) is 192a^4b^6

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simplify (9a^6(-2)^9b^9)/(3a^2(-2)^3b^3)

simplify

\frac{9 a ^{6} ( - 2 ) ^{9} b ^{9}}{3 a ^{2} ( - 2 ) ^{3} b ^{3}}

192 a^{4} b^{6}

Solution steps

\frac{9 a ^{6} ( - 2 ) ^{9} b ^{9}}{3 a ^{2} ( - 2 ) ^{3} b ^{3}}

\frac{( - 2 ) ^{9}}{( - 2 ) ^{3}} = (- 2)^{6}

= \frac{9 a ^{6} ( - 2 ) ^{6} b ^{9}}{3 a ^{2} b ^{3}}

Factor the number:

9 = 3 \cdot 3

= \frac{3 \cdot 3 a ^{6} ( - 2 ) ^{6} b ^{9}}{3 a ^{2} b ^{3}}

Cancel the common factor:

3

= \frac{3 a ^{6} ( - 2 ) ^{6} b ^{9}}{a ^{2} b ^{3}}

Simplify

\frac{a ^{6}}{a ^{2}} : a^{4}

= \frac{3 a ^{4} ( - 2 ) ^{6} b ^{9}}{b ^{3}}

Simplify

\frac{b ^{9}}{b ^{3}} : b^{6}

= 3 a^{4} (- 2)^{6} b^{6}

Simplify

3 a^{4} (- 2)^{6} b^{6} : 192 a^{4} b^{6}

= 192 a^{4} b^{6}

x - (- 1)

(3 x + 1) (2 x^{2} + x - 7)

(2 x + 2) (x + 2)

(k - 1)^{2}

(1 - 2 x)^{4}

What is (9a^6(-2)^9b^9)/(3a^2(-2)^3b^3) ?
The solution to (9a^6(-2)^9b^9)/(3a^2(-2)^3b^3) is 192a^4b^6