What is (2a^2b^3)^3(3a^3b^2)^2 ?

The solution to (2a^2b^3)^3(3a^3b^2)^2 is 72a^{12}b^{13}

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simplify (2a^2b^3)^3(3a^3b^2)^2

simplify

(2 a^{2} b^{3})^{3} (3 a^{3} b^{2})^{2}

72 a^{12} b^{13}

Solution steps

(2 a^{2} b^{3})^{3} (3 a^{3} b^{2})^{2}

Simplify

(2 a^{2} b^{3})^{3} : 8 a^{6} b^{9}

= 8 a^{6} b^{9} (3 a^{3} b^{2})^{2}

Simplify

(3 a^{3} b^{2})^{2} : 9 a^{6} b^{4}

= 8 a^{6} b^{9} \cdot 9 a^{6} b^{4}

Multiply the numbers:

8 \cdot 9 = 72

= 72 a^{6} b^{9} a^{6} b^{4}

Simplify

a^{6} a^{6} : a^{12}

= 72 a^{12} b^{9} b^{4}

Simplify

b^{9} b^{4} : b^{13}

= 72 a^{12} b^{13}

4 - p^{2}

\frac{4 x}{x - 1} \cdot \frac{x ^{2} - 1}{3 x + 3}

\frac{( x ^{2} - 1 )}{x - 1}

\frac{r + 6}{3 r - 6} + \frac{r + 1}{3 r - 6}

- \frac{1}{2} \cdot (- 4)

What is (2a^2b^3)^3(3a^3b^2)^2 ?
The solution to (2a^2b^3)^3(3a^3b^2)^2 is 72a^{12}b^{13}