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受欢迎的代数 >

化简 (x^{-12/5}y^{-3/16}2^{4/3})^{5/6}

解答

化简

(x^{- \frac{12}{5}} \cdot y^{- \frac{3}{16}} \cdot 2^{\frac{4}{3}})^{\frac{5}{6}}

解答

\frac{2 \cdot 2 ^{\frac{1}{9}}}{x ^{2} y ^{\frac{5}{32}}}

求解步骤

(x^{- \frac{12}{5}} y^{- \frac{3}{16}} \cdot 2^{\frac{4}{3}})^{\frac{5}{6}}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(x^{- \frac{12}{5}} y^{- \frac{3}{16}} \cdot 2^{\frac{4}{3}})^{\frac{5}{6}} = (x^{- \frac{12}{5}})^{\frac{5}{6}} (y^{- \frac{3}{16}})^{\frac{5}{6}} (2^{\frac{4}{3}})^{\frac{5}{6}}

= (x^{- \frac{12}{5}})^{\frac{5}{6}} (y^{- \frac{3}{16}})^{\frac{5}{6}} (2^{\frac{4}{3}})^{\frac{5}{6}}

化简

(x^{- \frac{12}{5}})^{\frac{5}{6}} : \frac{1}{x ^{2}}

= \frac{1}{x ^{2}} (y^{- \frac{3}{16}})^{\frac{5}{6}} (2^{\frac{4}{3}})^{\frac{5}{6}}

化简

(y^{- \frac{3}{16}})^{\frac{5}{6}} : \frac{1}{y ^{\frac{5}{32}}}

= \frac{1}{x ^{2}} \cdot \frac{1}{y ^{\frac{5}{32}}} (2^{\frac{4}{3}})^{\frac{5}{6}}

(2^{\frac{4}{3}})^{\frac{5}{6}} = 2 \cdot 2^{\frac{1}{9}}

= \frac{1}{x ^{2}} \cdot \frac{1}{y ^{\frac{5}{32}}} \cdot 2 \cdot 2^{\frac{1}{9}}

化简

\frac{1}{x ^{2}} \cdot \frac{1}{y ^{\frac{5}{32}}} \cdot 2 \cdot 2^{\frac{1}{9}} : \frac{2 \cdot 2 ^{\frac{1}{9}}}{x ^{2} y ^{\frac{5}{32}}}

= \frac{2 \cdot 2 ^{\frac{1}{9}}}{x ^{2} y ^{\frac{5}{32}}}

流行的例子

7 = \frac{4}{3} (x + 6)

化简 \sqrt[3]{-128x^6y^5}

s im pl i f y 3 - 128 x^{6} y^{5}

49x^2-70x+25=64

49 x^{2} - 70 x + 25 = 64

因式分解 x^3-7x^2+14x-8

f a c t or x^{3} - 7 x^{2} + 14 x - 8

因式分解 w^2-16w+64

f a c t or w^{2} - 16 w + 64