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问题: 整数指数幂计算

(-b/2a)/(2a/b)^-2/b^-3/3a^-2*(2a^2b)^-3
(7/8)^3/(8/7)^-3+(-3/2)^2/(2/3)^-3-(1/3-1)^0+3^-1

解答:

(-b/2a)/(2a/b)^-2/b^-3/3a^-2*(2a^2b)^-3
=(-b/2a)(2a/b)^2*(3b^2/a^2)*(1/4a^6b^3)
=-3/(2a^7b^2)
(7/8)^3/(8/7)^-3+(-3/2)^2/(2/3)^-3-(1/3-1)^0+3^-1
=(7/8)^3*(8/7)^3+(3/2)^2*(2/3)^3-1+1/3
=1+2/3-1+1/3
=1.