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同底数幂的乘法:
(a)
am×an×aka^m\times a^n\times a^kam×an×ak (a)
(a−b)7×(a−b)3\left(a-b\right)^7\times\left(a-b\right)^3(a−b)7×(a−b)3 (a)
幂的乘方: −(a7)7\ -\left(a^7\right)^7 −(a7)7
(y3)2⋅y2\left(y^3\right)^2\cdot y^2(y3)2⋅y2 (a)
2(a3)2−(a2)32\left(a^3\right)^2-\left(a^2\right)^32(a3)2−(a2)3 (a)
已知xm=3, xn=5, 求x2m+n已知x^m=3,\ x^n=5,\ 求x^{2m+n}已知xm=3, xn=5, 求x2m+n
(−2xy)2\left(-2xy\right)^2(−2xy)2 (a)
3999×(−13)9993^{999}\times\left(-\frac{1}{3}\right)^{999}3999×(−31)999 (a)
已知2x+3×3x+3=36x−2, 已知2^{x+3}\times3^{x+3}=36^{x-2},\ 已知2x+3×3x+3=36x−2, 求x的值。
若2x+y−3=0, 求4x⋅32y若2x+y-3=0,\ 求4^x\cdot32^y若2x+y−3=0, 求4x⋅32y
简便运算:99 x 101 (a)
运用完全平方公式计算:1012运用完全平方公式计算:101^2运用完全平方公式计算:1012
5(2a+b)4÷(2a+b)5\left(2a+b\right)^4\div\left(2a+b\right)5(2a+b)4÷(2a+b) (a)
−8x5y3÷(2x2y)2-8x^5y^3\div\left(2x^2y\right)^2−8x5y3÷(2x2y)2 (a)
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