What is (-(32a^2*b))/((4a*b^5)) ?

The solution to (-(32a^2*b))/((4a*b^5)) is -(8a)/(b^4)

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simplify (-(32a^2b))/((4ab^5))

simplify

\frac{- ( 32 a ^{2} \cdot b )}{( 4 a \cdot b ^{5} )}

- \frac{8 a}{b ^{4}}

Solution steps

\frac{- ( 32 a ^{2} b )}{4 a b ^{5}}

Apply rule:

- (a) = - a

- (32 a^{2} b) = - 32 a^{2} b

= \frac{- 32 a ^{2} b}{4 a b ^{5}}

Factor the number:

32 = 4 \cdot 8

= \frac{- 4 \cdot 8 a ^{2} b}{4 a b ^{5}}

Cancel the common factor:

4

= \frac{- 8 a ^{2} b}{a b ^{5}}

Simplify

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

= \frac{- 8 ab}{b ^{5}}

Simplify

\frac{b}{b ^{5}} : \frac{1}{b ^{4}}

= \frac{- 8 a}{b ^{4}}

Apply the fraction rule:

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

= - \frac{8 a}{b ^{4}}

3 (3 x + 2 y)

2 n^{2} + 4 n - 1260

27 t^{3} - 125

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

(\frac{2 x}{3 y ^{4}})^{3}

What is (-(32a^2*b))/((4a*b^5)) ?
The solution to (-(32a^2*b))/((4a*b^5)) is -(8a)/(b^4)