What is (6a^2b)^3*(1/3 abc)^2 ?

The solution to (6a^2b)^3*(1/3 abc)^2 is 24a^8b^5c^2

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simplify (6a^2b)^3*(1/3 abc)^2

simplify

(6 a^{2} b)^{3} \cdot (\frac{1}{3} ab c)^{2}

24 a^{8} b^{5} c^{2}

Solution steps

(6 a^{2} b)^{3} (\frac{1}{3} ab c)^{2}

Simplify

(6 a^{2} b)^{3} : 216 a^{6} b^{3}

= 216 a^{6} b^{3} (\frac{1}{3} ab c)^{2}

Simplify

(\frac{1}{3} ab c)^{2} : \frac{a ^{2} b ^{2} c ^{2}}{9}

= 216 a^{6} b^{3} \frac{a ^{2} b ^{2} c ^{2}}{9}

Apply the fraction rule:

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

= \frac{216 a ^{6} b ^{3} a ^{2} b ^{2} c ^{2}}{9}

Divide the numbers:

\frac{216}{9} = 24

= 24 a^{6} b^{3} a^{2} b^{2} c^{2}

Simplify

a^{6} a^{2} : a^{8}

= 24 a^{8} b^{3} b^{2} c^{2}

Simplify

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

= 24 a^{8} b^{5} c^{2}

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∣ w - 2 ∣ \leq 5

What is (6a^2b)^3*(1/3 abc)^2 ?
The solution to (6a^2b)^3*(1/3 abc)^2 is 24a^8b^5c^2