What is (3a^5)/4*2/(-15a^3) ?

The solution to (3a^5)/4*2/(-15a^3) is -(a^2)/(10)

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simplify (3a^5)/4*2/(-15a^3)

simplify

\frac{3 a ^{5}}{4} \cdot \frac{2}{- 15 a ^{3}}

- \frac{a ^{2}}{10}

Solution steps

\frac{3 a ^{5}}{4} \cdot \frac{2}{- 15 a ^{3}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

\frac{2}{- 15 a ^{3}} = - \frac{2}{15 a ^{3}}

= \frac{3 a ^{5}}{4} (- \frac{2}{15 a ^{3}})

Apply rule:

a (- b) = - ab

\frac{3 a ^{5}}{4} (- \frac{2}{15 a ^{3}}) = - \frac{3 a ^{5}}{4} \cdot \frac{2}{15 a ^{3}}

= - \frac{3 a ^{5}}{4} \cdot \frac{2}{15 a ^{3}}

Apply the fraction rule:

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

= - \frac{3 a ^{5} \cdot 2}{4 \cdot 15 a ^{3}}

Factor the number:

15 = 3 \cdot 5

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

Cancel the common factor:

3

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

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

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

Multiply the numbers:

2 \cdot 5 = 10

= - \frac{a ^{2}}{10}

(11)^{2}

4 x - 5 + 7 \cdot (x + 1) = \frac{6 x - 3}{2}

x^{2} y + 2 y

5 x - 38 = - 2 (1 - 7 x)

2 \cdot 2

What is (3a^5)/4*2/(-15a^3) ?
The solution to (3a^5)/4*2/(-15a^3) is -(a^2)/(10)