What is (x^2y)/5*(10a^3)/(3m^2)*(9m)/(x^3) ?

The solution to (x^2y)/5*(10a^3)/(3m^2)*(9m)/(x^3) is (6a^3y)/(mx)

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simplify (x^2y)/5(10a^3)/(3m^2)(9m)/(x^3)

simplify

\frac{x ^{2} y}{5} \cdot \frac{10 a ^{3}}{3 m ^{2}} \cdot \frac{9 m}{x ^{3}}

\frac{6 a ^{3} y}{m x}

Solution steps

\frac{x ^{2} y}{5} \cdot \frac{10 a ^{3}}{3 m ^{2}} \cdot \frac{9 m}{x ^{3}}

Apply the fraction rule:

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

= \frac{x ^{2} y \cdot 10 a ^{3} \cdot 9 m}{5 \cdot 3 m ^{2} x ^{3}}

Factor the number:

10 = 5 \cdot 2

= \frac{x ^{2} y \cdot 5 \cdot 2 a ^{3} \cdot 9 m}{5 \cdot 3 m ^{2} x ^{3}}

Cancel the common factor:

5

= \frac{x ^{2} y \cdot 2 a ^{3} \cdot 9 m}{3 m ^{2} x ^{3}}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Simplify

\frac{x ^{2}}{x ^{3}} : \frac{1}{x}

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

Simplify

\frac{m}{m ^{2}} : \frac{1}{m}

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

Multiply the numbers:

2 \cdot 3 = 6

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

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

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

(m - 1) (m + 1)

- 25 + - 24 + 1 + - 54

- \frac{3}{2} + \frac{3}{2}

\frac{2 + 2 2}{2}

\frac{9}{2} - 6

What is (x^2y)/5*(10a^3)/(3m^2)*(9m)/(x^3) ?
The solution to (x^2y)/5*(10a^3)/(3m^2)*(9m)/(x^3) is (6a^3y)/(mx)