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受欢迎的代数 >

化简 (3x^2y^2+5x^2y^2)^2

解答

化简

(3 x^{2} y^{2} + 5 x^{2} y^{2})^{2}

解答

64 x^{4} y^{4}

求解步骤

(3 x^{2} y^{2} + 5 x^{2} y^{2})^{2}

同类项相加:

3 x^{2} y^{2} + 5 x^{2} y^{2} = 8 x^{2} y^{2}

= (8 x^{2} y^{2})^{2}

使用指数法则:

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

(8 x^{2} y^{2})^{2} = 8^{2} (x^{2})^{2} (y^{2})^{2}

= 8^{2} (x^{2})^{2} (y^{2})^{2}

8^{2} = 64

= 64 (x^{2})^{2} (y^{2})^{2}

化简

(x^{2})^{2} : x^{4}

= 64 x^{4} (y^{2})^{2}

化简

(y^{2})^{2} : y^{4}

= 64 x^{4} y^{4}

流行的例子

化简 (1-i)(2-i)(3-i)

s im pl i f y (1 - i) (2 - i) (3 - i)

化简 (1 5/7 x^{3m-1/3})^3*(7/12 x^{1/3})^3

s im pl i f y (1 \frac{5}{7} x^{3 m - \frac{1}{3}})^{3} \cdot (\frac{7}{12} x^{\frac{1}{3}})^{3}

化简 sqrt(81*900)

s im pl i f y 81 \cdot 900

s im pl i f y 5 \cdot \frac{4}{5}

化简 5^{-1/3}

s im pl i f y 5^{- \frac{1}{3}}