What is (9a^3b^4c)^2*(2a^2b^3)^3 ?

The solution to (9a^3b^4c)^2*(2a^2b^3)^3 is 648a^{12}b^{17}c^2

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simplify (9a^3b^4c)^2*(2a^2b^3)^3

simplify

(9 a^{3} b^{4} c)^{2} \cdot (2 a^{2} b^{3})^{3}

648 a^{12} b^{17} c^{2}

Solution steps

(9 a^{3} b^{4} c)^{2} (2 a^{2} b^{3})^{3}

Simplify

(9 a^{3} b^{4} c)^{2} : 81 a^{6} b^{8} c^{2}

= 81 a^{6} b^{8} c^{2} (2 a^{2} b^{3})^{3}

Simplify

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

= 81 a^{6} b^{8} c^{2} \cdot 8 a^{6} b^{9}

Multiply the numbers:

81 \cdot 8 = 648

= 648 a^{6} b^{8} c^{2} a^{6} b^{9}

Simplify

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

= 648 a^{12} b^{8} c^{2} b^{9}

Simplify

b^{8} b^{9} : b^{17}

= 648 a^{12} b^{17} c^{2}

3 (x + 7)

(3 x - 10) (3 x - 1)

(- 1)^{x} (- 1)^{x}

3 \times 15

\frac{2}{( \frac{2}{x} )}

What is (9a^3b^4c)^2*(2a^2b^3)^3 ?
The solution to (9a^3b^4c)^2*(2a^2b^3)^3 is 648a^{12}b^{17}c^2