What is (10a^3b)/(-15ab^3) ?

The solution to (10a^3b)/(-15ab^3) is -(2a^2)/(3b^2)

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simplify (10a^3b)/(-15ab^3)

simplify

\frac{10 a ^{3} b}{- 15 a b ^{3}}

- \frac{2 a ^{2}}{3 b ^{2}}

Solution steps

\frac{10 a ^{3} b}{- 15 a b ^{3}}

Factor the number:

10 = 5 \cdot 2

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

Factor the number:

15 = 5 \cdot 3

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

Cancel the common factor:

5

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

Simplify

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

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

Simplify

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

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

Apply the fraction rule:

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

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

(x^{2} - 1) (x - 2)

(x^{2} - 1) (x - 1)

5 \times 1 0^{- 3}

\frac{70 v ^{2}}{100 v}

lo g_{6} (24)

What is (10a^3b)/(-15ab^3) ?
The solution to (10a^3b)/(-15ab^3) is -(2a^2)/(3b^2)