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受欢迎的代数 >

化简 (-18m^2n)^2(-1/6 mn^2)

解答

化简

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2})

解答

- 54 m^{5} n^{4}

求解步骤

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2})

使用法则:

a (- b) = - ab

(- 18 m^{2} n)^{2} (- \frac{1}{6} m n^{2}) = - (- 18 m^{2} n)^{2} \frac{1}{6} m n^{2}

= - (- 18 m^{2} n)^{2} \frac{1}{6} m n^{2}

= - \frac{1}{6} m (- 18 m^{2} n)^{2} n^{2}

化简

(- 18 m^{2} n)^{2} : 324 m^{4} n^{2}

= - \frac{1}{6} m \cdot 324 m^{4} n^{2} n^{2}

化简

m m^{4} : m^{5}

= - \frac{1}{6} m^{5} \cdot 324 n^{2} n^{2}

化简

n^{2} n^{2} : n^{4}

= - \frac{1}{6} m^{5} \cdot 324 n^{4}

= - \frac{1}{6} \cdot 324 m^{5} n^{4}

使用分式法则:

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

= - \frac{1 \cdot 324 m ^{5} n ^{4}}{6}

数字相乘:

1 \cdot 324 = 324

= - \frac{324 m ^{5} n ^{4}}{6}

数字相除:

\frac{324}{6} = 54

= - 54 m^{5} n^{4}

流行的例子

化简 (64/25)^{-1/2}

s im pl i f y (\frac{64}{25})^{- \frac{1}{2}}

化简 (9^{12})/(9^8)

s im pl i f y \frac{9 ^{12}}{9 ^{8}}

((3x-5))/2+((8x-12))/7 =9

\frac{( 3 x - 5 )}{2} + \frac{( 8 x - 12 )}{7} = 9

化简 (-11)^{-1}

s im pl i f y (- 11)^{- 1}

化简 1/8+0.5*16

s im pl i f y \frac{1}{8} + 0.5 \cdot 16