What is (5b^2)^3(1/2 b^3)^2 ?

The solution to (5b^2)^3(1/2 b^3)^2 is (125b^{12})/4

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simplify (5b^2)^3(1/2 b^3)^2

simplify

(5 b^{2})^{3} (\frac{1}{2} b^{3})^{2}

\frac{125 b ^{12}}{4}

Solution steps

(5 b^{2})^{3} (\frac{1}{2} b^{3})^{2}

Simplify

(5 b^{2})^{3} : 125 b^{6}

= 125 b^{6} (\frac{1}{2} b^{3})^{2}

Simplify

(\frac{1}{2} b^{3})^{2} : \frac{b ^{6}}{4}

= 125 b^{6} \frac{b ^{6}}{4}

Apply the fraction rule:

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

= \frac{125 b ^{6} b ^{6}}{4}

Simplify

b^{6} b^{6} : b^{12}

= \frac{125 b ^{12}}{4}

\frac{12 !}{7 ! 5 !}

\frac{6 + 2 i}{3 + 2 i}

\frac{5 + 3}{3 - 5}

(x + 1) (x - 2) (x + 3) \geq 0

2 q \geq 6

What is (5b^2)^3(1/2 b^3)^2 ?
The solution to (5b^2)^3(1/2 b^3)^2 is (125b^{12})/4