What is (3a^3b)^2(2a*b^2)^3 ?

The solution to (3a^3b)^2(2a*b^2)^3 is 72a^9b^8

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simplify (3a^3b)^2(2a*b^2)^3

simplify

(3 a^{3} b)^{2} (2 a \cdot b^{2})^{3}

72 a^{9} b^{8}

Solution steps

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

Simplify

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

= 9 a^{6} b^{2} (2 a b^{2})^{3}

Simplify

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

= 9 a^{6} b^{2} \cdot 8 a^{3} b^{6}

Multiply the numbers:

9 \cdot 8 = 72

= 72 a^{6} b^{2} a^{3} b^{6}

Simplify

a^{6} a^{3} : a^{9}

= 72 a^{9} b^{2} b^{6}

Simplify

b^{2} b^{6} : b^{8}

= 72 a^{9} b^{8}

6 (2 m - 3)

3.16 \cdot 10 - 10 m

e^{l n (∣ x + 2 ∣ (x - 1)^{2})}

(1) (y - z)^{3} + (z - x)^{3} + (x - y)^{3}

125 + 375 - 568 + 768 + a - a