What is (-2ab^2)^4(-2a^3)^5 ?

The solution to (-2ab^2)^4(-2a^3)^5 is -512a^{19}b^8

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simplify (-2ab^2)^4(-2a^3)^5

simplify

(- 2 a b^{2})^{4} (- 2 a^{3})^{5}

- 512 a^{19} b^{8}

Solution steps

(- 2 a b^{2})^{4} (- 2 a^{3})^{5}

Simplify

(- 2 a b^{2})^{4} : 16 a^{4} b^{8}

= 16 a^{4} b^{8} (- 2 a^{3})^{5}

Simplify

(- 2 a^{3})^{5} : - 32 a^{15}

= 16 a^{4} b^{8} (- 32 a^{15})

Apply rule:

a (- b) = - ab

16 a^{4} b^{8} (- 32 a^{15}) = - 16 a^{4} b^{8} \cdot 32 a^{15}

= - 16 a^{4} b^{8} \cdot 32 a^{15}

Multiply the numbers:

- 16 \cdot 32 = - 512

= - 512 a^{4} b^{8} a^{15}

Simplify

a^{4} a^{15} : a^{19}

= - 512 a^{19} b^{8}

(81) (121)

0.1 1^{2}

3 x^{5} (2 x^{2} + 4 x + 1)

\frac{3}{5} \div \frac{3}{10}

\frac{2 π}{3.14}

What is (-2ab^2)^4(-2a^3)^5 ?
The solution to (-2ab^2)^4(-2a^3)^5 is -512a^{19}b^8