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受欢迎的代数 >

化简 (1/(4m^2n))^3x(-32m^2n)

解答

化简

(\frac{1}{4 m ^{2} n})^{3} x (- 32 m^{2} n)

解答

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

求解步骤

(\frac{1}{4 m ^{2} n})^{3} x (- 32 m^{2} n)

使用法则:

a (- b) = - ab

(\frac{1}{4 m ^{2} n})^{3} x (- 32 m^{2} n) = - (\frac{1}{4 m ^{2} n})^{3} x \cdot 32 m^{2} n

= - (\frac{1}{4 m ^{2} n})^{3} x \cdot 32 m^{2} n

= - 32 n x (\frac{1}{4 m ^{2} n})^{3} m^{2}

化简

(\frac{1}{4 m ^{2} n})^{3} : \frac{1}{64 m ^{6} n ^{3}}

= - 32 n x \frac{1}{64 m ^{6} n ^{3}} m^{2}

使用分式法则:

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

= - \frac{32 n x \cdot 1 \cdot m ^{2}}{64 m ^{6} n ^{3}}

数字相乘:

32 \cdot 1 = 32

= - \frac{32 n x m ^{2}}{64 m ^{6} n ^{3}}

因式分解数字:

64 = 32 \cdot 2

= - \frac{32 n x m ^{2}}{32 \cdot 2 m ^{6} n ^{3}}

约分:

32

= - \frac{n x m ^{2}}{2 m ^{6} n ^{3}}

化简

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

= - \frac{x m ^{2}}{2 m ^{6} n ^{2}}

化简

\frac{m ^{2}}{m ^{6}} : \frac{1}{m ^{4}}

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

流行的例子

化简 1/((sin(x+x/3)))

s im pl i f y \frac{1}{( sin ( x + \frac{x}{3} ) )}

化简 (1/4*m^2-1/2*n^3)^3

s im pl i f y (\frac{1}{4} \cdot m^{2} - \frac{1}{2} \cdot n^{3})^{3}

化简 2 p/3 x^5 p/(12)

s im pl i f y 2 \frac{p}{3} x^{5} \frac{p}{12}

化简 3/4 x^3(y^3)/((-1/2 x^2y^2))

s im pl i f y \frac{3}{4} x^{3} \frac{y ^{3}}{( - \frac{1}{2} x ^{2} y ^{2} )}

展开 m(n+3)+5(n+3)

e x p an d m (n + 3) + 5 (n + 3)