计算题:1' (0.25)^-0.5+(1/27)^-(1/3)-625^0.25

问题描述:

计算题:1' (0.25)^-0.5+(1/27)^-(1/3)-625^0.25
2' a^15 ×a^(-15) ×(a^-5)^0.5 ×(a^0.5)^3 (a>0)
3' (0.064)^-(1/3) -(-7/8)^0 +[(-2)^3]^(-4/3)+16^-0.75
4’
(124+22√3 )^(1/2)-27^(1/6)+16^(3/4)-2×(8^-2/3)^- 1 +5√2 ×(4^-2/3)^-1
1个回答 分类:数学 2014-12-14

问题解答:

我来补答
1' (0.25)^-0.5+(1/27)^-(1/3)-625^0.25
=(0.5)^-1+(1/3)^-1-5
=2+3-5
=0
2' a^15 ×a^(-15) ×(a^-5)^0.5 ×(a^0.5)^3 (a>0)
=a^0 ×(a^0.5 )^-5×(a^0.5)^3
=(a^0.5 )^-2
=a^-1
=1/a
3' (0.064)^-(1/3) -(-7/8)^0 +[(-2)^3]^(-4/3)+16^-0.75
=0.4^-1 - 1 + (-2)^-4 + 2^-3
=5/2-1+1/16+1/8
=27/16
4’(124+22√3 )^(1/2)-27^(1/6)+16^(3/4)-2×(8^-2/3)^- 1 +5√2 ×(4^-2/3)^-1
因为11*11*3=121*3
所以(124+22√3 )^(1/2)=11+√3
原式=11+√3-√3+8-8+5√2*4^2/3
=11+5√2*4^2/3
 
 
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