What is (1/2 x^3)(-2/3 a^2x)(-3/5 a^4m) ?

The solution to (1/2 x^3)(-2/3 a^2x)(-3/5 a^4m) is (x^4a^6m)/5

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simplify (1/2 x^3)(-2/3 a^2x)(-3/5 a^4m)

simplify

(\frac{1}{2} x^{3}) (- \frac{2}{3} a^{2} x) (- \frac{3}{5} a^{4} m)

\frac{x ^{4} a ^{6} m}{5}

Solution steps

(\frac{1}{2} x^{3}) (- \frac{2}{3} a^{2} x) (- \frac{3}{5} a^{4} m)

Simplify

(- \frac{2}{3} a^{2} x) (- \frac{3}{5} a^{4} m) : \frac{2 a ^{6} x m}{5}

= \frac{1}{2} x^{3} \frac{2 a ^{6} x m}{5}

Apply the fraction rule:

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

= \frac{1 \cdot x ^{3} \cdot 2 a ^{6} x m}{2 \cdot 5}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{2 x ^{3} a ^{6} x m}{2 \cdot 5}

Cancel the common factor:

2

= \frac{x ^{3} a ^{6} x m}{5}

Simplify

x^{3} x : x^{4}

= \frac{x ^{4} a ^{6} m}{5}

tan (x) \cdot cot (x)

2 sin (3 x) cos (3 x)

\frac{4 m n ^{2} + p n ^{2}}{32 km + 8 k p}

n^{2} + 43 n + 432

What is (1/2 x^3)(-2/3 a^2x)(-3/5 a^4m) ?
The solution to (1/2 x^3)(-2/3 a^2x)(-3/5 a^4m) is (x^4a^6m)/5