What is simplify-1/2 (ab)^3(4b)^2 ?

The solution to simplify-1/2 (ab)^3(4b)^2 is -8a^3b^5

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simplify-1/2 (ab)^3(4b)^2

simplify

- \frac{1}{2} (ab)^{3} (4 b)^{2}

- 8 a^{3} b^{5}

Solution steps

- \frac{1}{2} (ab)^{3} (4 b)^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(ab)^{3} = a^{3} b^{3}

= - \frac{1}{2} a^{3} b^{3} (4 b)^{2}

Simplify

(4 b)^{2} : 16 b^{2}

= - \frac{1}{2} a^{3} b^{3} \cdot 16 b^{2}

Simplify

b^{3} b^{2} : b^{5}

= - \frac{1}{2} a^{3} b^{5} \cdot 16

= - \frac{1}{2} \cdot 16 a^{3} b^{5}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot 16 a ^{3} b ^{5}}{2}

Multiply the numbers:

1 \cdot 16 = 16

= - \frac{16 a ^{3} b ^{5}}{2}

Divide the numbers:

\frac{16}{2} = 8

= - 8 a^{3} b^{5}

\frac{9}{6 ( x - 2 ) ^{2} - 7}

x (12 - 2 x)^{2}

γ (2)

\frac{12}{150}

y \cdot y^{7}

What is simplify-1/2 (ab)^3(4b)^2 ?
The solution to simplify-1/2 (ab)^3(4b)^2 is -8a^3b^5