What is 4/(5a)*3/(2a^2) ?

The solution to 4/(5a)*3/(2a^2) is 6/(5a^3)

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simplify 4/(5a)*3/(2a^2)

simplify

\frac{4}{5 a} \cdot \frac{3}{2 a ^{2}}

\frac{6}{5 a ^{3}}

Solution steps

\frac{4}{5 a} \cdot \frac{3}{2 a ^{2}}

Apply the fraction rule:

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

= \frac{4 \cdot 3}{5 a \cdot 2 a ^{2}}

Cancel

\frac{4 \cdot 3}{5 a \cdot 2 a ^{2}} : \frac{2 \cdot 3}{5 a a ^{2}}

= \frac{2 \cdot 3}{5 a a ^{2}}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{6}{5 a a ^{2}}

Simplify

a a^{2} : a^{3}

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

\frac{- 3 x ^{7} y ^{5}}{x ^{12} y ^{2}}

k^{2} - 10 k + 21

84 = 7 d

2 x + \frac{\frac{1}{4}}{3} - \frac{x}{6} = (\frac{1}{3})^{2}

4 x^{2} + 6 x + 9 = 0