化简 (10m^6n^3)/(5m^2n^7)

解答

化简

\frac{10 m ^{6} n ^{3}}{5 m ^{2} n ^{7}}

\frac{2 m ^{4}}{n ^{4}}

求解步骤

\frac{10 m ^{6} n ^{3}}{5 m ^{2} n ^{7}}

因式分解数字:

10 = 5 \cdot 2

= \frac{5 \cdot 2 m ^{6} n ^{3}}{5 m ^{2} n ^{7}}

约分:

5

= \frac{2 m ^{6} n ^{3}}{m ^{2} n ^{7}}

化简

\frac{m ^{6}}{m ^{2}} : m^{4}

= \frac{2 m ^{4} n ^{3}}{n ^{7}}

化简

\frac{n ^{3}}{n ^{7}} : \frac{1}{n ^{4}}

= \frac{2 m ^{4}}{n ^{4}}

s im pl i f y (\frac{7 ^{- 1}}{2 ^{- 1} + 3 ^{- 1} + 6 ^{- 1}})^{- 2}

f a c t or 96 - 48 m n^{2} + 144 n^{3}

\frac{6 x}{4} - \frac{3}{4} = \frac{6 x}{7} + \frac{2}{5}

s im pl i f y (3 x y^{2})^{3}

0 = x^{2} - 8 x + 20