What is (6a^5b^2)/(4ab^3) ?

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

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simplify (6a^5b^2)/(4ab^3)

simplify

\frac{6 a ^{5} b ^{2}}{4 a b ^{3}}

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

Solution steps

\frac{6 a ^{5} b ^{2}}{4 a b ^{3}}

Factor the number:

6 = 2 \cdot 3

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

\frac{a ^{5}}{a} : a^{4}

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

Simplify

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

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

1 < \frac{4 x - 4}{2 x + 3} < 3

\frac{x ^{9}}{x ^{7}}

- 6 (4 - 6 i)

4 (x + 3) = 1

6 - 1 = x + 12