What is (4ab^5)/(a^3b)*(3a^5b^2)/(8a) ?

The solution to (4ab^5)/(a^3b)*(3a^5b^2)/(8a) is (3b^6a^2)/2

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simplify (4ab^5)/(a^3b)*(3a^5b^2)/(8a)

simplify

\frac{4 a b ^{5}}{a ^{3} b} \cdot \frac{3 a ^{5} b ^{2}}{8 a}

\frac{3 b ^{6} a ^{2}}{2}

Solution steps

\frac{4 a b ^{5}}{a ^{3} b} \cdot \frac{3 a ^{5} b ^{2}}{8 a}

Cancel

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

= \frac{4 b ^{4}}{a ^{2}} \cdot \frac{3 a ^{5} b ^{2}}{8 a}

Cancel

\frac{3 a ^{5} b ^{2}}{8 a} : \frac{3 a ^{4} b ^{2}}{8}

= \frac{4 b ^{4}}{a ^{2}} \cdot \frac{3 a ^{4} b ^{2}}{8}

Apply the fraction rule:

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

= \frac{4 b ^{4} \cdot 3 a ^{4} b ^{2}}{a ^{2} \cdot 8}

Factor the number:

8 = 4 \cdot 2

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

Cancel the common factor:

4

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

Simplify

\frac{a ^{4}}{a ^{2}} : a^{2}

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

Simplify

b^{4} b^{2} : b^{6}

= \frac{b ^{6} \cdot 3 a ^{2}}{2}

= \frac{3 b ^{6} a ^{2}}{2}

- 10 \leq 2 x - 4 < 8

13 = 2 m + 5

s^{3} + 9 s + 2 s + 24

(\frac{2 ab}{a ^{- 5} b ^{2}})^{- 3}

What is (4ab^5)/(a^3b)*(3a^5b^2)/(8a) ?
The solution to (4ab^5)/(a^3b)*(3a^5b^2)/(8a) is (3b^6a^2)/2