What is (32a^2bc^3)/(20abc) ?

The solution to (32a^2bc^3)/(20abc) is (8ac^2)/5

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simplify (32a^2bc^3)/(20abc)

simplify

\frac{32 a ^{2} b c ^{3}}{20 ab c}

\frac{8 a c ^{2}}{5}

Solution steps

\frac{32 a ^{2} b c ^{3}}{20 ab c}

Cancel the common factor:

b

= \frac{32 a ^{2} c ^{3}}{20 a c}

Factor the number:

32 = 4 \cdot 8

= \frac{4 \cdot 8 a ^{2} c ^{3}}{20 a c}

Factor the number:

20 = 4 \cdot 5

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

Cancel the common factor:

4

= \frac{8 a ^{2} c ^{3}}{5 a c}

Simplify

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

= \frac{8 a c ^{3}}{5 c}

Simplify

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

= \frac{8 a c ^{2}}{5}

(2^{2})^{- 2}

(3 x - 4)^{2} = 8

0 = x + 0.15 x^{2}

\frac{2 ^{- \frac{4}{3}}}{5 4 ^{- \frac{4}{3}}}

14 \cdot 2