What is (3f^4g^3*8fg^4)/((6f^2g^3)^2) ?

The solution to (3f^4g^3*8fg^4)/((6f^2g^3)^2) is (2fg)/3

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simplify (3f^4g^3*8fg^4)/((6f^2g^3)^2)

simplify

\frac{3 f ^{4} g ^{3} \cdot 8 f g ^{4}}{( 6 f ^{2} g ^{3} ) ^{2}}

\frac{2 f g}{3}

Solution steps

\frac{3 f ^{4} g ^{3} \cdot 8 f g ^{4}}{( 6 f ^{2} g ^{3} ) ^{2}}

Simplify

(6 f^{2} g^{3})^{2} : 36 f^{4} g^{6}

= \frac{3 f ^{4} g ^{3} \cdot 8 f g ^{4}}{36 f ^{4} g ^{6}}

Cancel the common factor:

f^{4}

= \frac{3 g ^{3} \cdot 8 f g ^{4}}{36 g ^{6}}

Factor the number:

36 = 3 \cdot 12

= \frac{3 g ^{3} \cdot 8 f g ^{4}}{3 \cdot 12 g ^{6}}

Cancel the common factor:

3

= \frac{g ^{3} \cdot 8 f g ^{4}}{12 g ^{6}}

Factor the number:

8 = 4 \cdot 2

= \frac{g ^{3} \cdot 4 \cdot 2 f g ^{4}}{12 g ^{6}}

Factor the number:

12 = 4 \cdot 3

= \frac{g ^{3} \cdot 4 \cdot 2 f g ^{4}}{4 \cdot 3 g ^{6}}

Cancel the common factor:

4

= \frac{g ^{3} \cdot 2 f g ^{4}}{3 g ^{6}}

Simplify

\frac{g ^{3}}{g ^{6}} : \frac{1}{g ^{3}}

= \frac{2 f g ^{4}}{3 g ^{3}}

Simplify

\frac{g ^{4}}{g ^{3}} : g

= \frac{2 f g}{3}

\frac{1 + \frac{4}{5}}{2}

t^{2} = 5 t

(3 i)^{4}

- \frac{3}{5} \cdot 4

- \frac{1}{4} - \frac{1}{4}

What is (3f^4g^3*8fg^4)/((6f^2g^3)^2) ?
The solution to (3f^4g^3*8fg^4)/((6f^2g^3)^2) is (2fg)/3