计算:(1⼀300)^-1⼀2+10*(√3⼀2)^1⼀2*(27⼀4)^1⼀4-10*(1⼀3)^-1

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2024-12-16 05:35:24
推荐回答(1个)
回答1:

(1/300)^-1/2+10*(√3/2)^1/2*(27/4)^1/4-10*(1/3)^-1
=(300^-1)^-1/2+10*(3^1/2*2^-1)^1/2*(3³*2^-2)^1/4-10*(3^-1)^-1
=300^1/2+10*3^1/4*2^-1/2*3^3/4*2^-1/2-10*3
=300^1/2+10*3^(1/4+3/4)*2^(-1/2-1/2)-10*3
=300^1/2+10*3*2^-1-30
=10*3^1/2+10*3/2-30
=10*3^1/2+15-30
=10*3^1/2-15