What is (2a^3b^2)(3ab^4)^3 ?

The solution to (2a^3b^2)(3ab^4)^3 is 54a^6b^{14}

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simplify (2a^3b^2)(3ab^4)^3

simplify

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

54 a^{6} b^{14}

Solution steps

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

Simplify

(3 a b^{4})^{3} : 27 a^{3} b^{12}

= 2 a^{3} b^{2} \cdot 27 a^{3} b^{12}

Multiply the numbers:

2 \cdot 27 = 54

= 54 a^{3} b^{2} a^{3} b^{12}

Simplify

a^{3} a^{3} : a^{6}

= 54 a^{6} b^{2} b^{12}

Simplify

b^{2} b^{12} : b^{14}

= 54 a^{6} b^{14}

\frac{x ^{2} + 2 x - 15}{x + 5}

18 a^{4} + 81 + a^{8}

8 x^{2} y^{2} - \frac{3 x ^{3} y}{2} + 4 x^{4} - 7 x y^{3}

(- 4) + (- 6)

(3 x + 2) (4 x^{2} - 2 x - 7)