初一几道数学题,过程写下来帮到高分很急在线等1.(2次根号2-3)^2(2次根号2+3)^2/32.根号(根号3-2)^2+(根号3-1)^03.利用幂的形式计算:(3^1/2×5^1/2)^44.(根号5-2)^2-(根号5+2)^25.(16^-3×4^3)^1/66.-81^3/4÷2^3+(16/4

Question

初一几道数学题,过程写下来 帮到高分 很急 在线等
1.(2次根号2-3)^2(2次根号2+3)^2/3
2.根号(根号3-2)^2+(根号3-1)^0
3.利用幂的形式计算:(3^1/2×5^1/2)^4
4.(根号5-2)^2-(根号5+2)^2
5.(16^-3×4^3)^1/6
6.-81^3/4÷2^3+(16/49)^-1/2-1
7.(7^3/2×49^-3/4)^2/3

Answer 1

1.(2次根号2-3)^2(2次根号2+3)^2/3
=[(√2-3)(√2+3)]²/3
=(2-3)²/3
=1/3
2.根号(根号3-2)^2+(根号3-1)^0
=√(2-√3+1)
=√(3-√3)
3.利用幂的形式计算:
(3^1/2×5^1/2)^4
=(15½)^4
=15²
=225
4.(根号5-2)^2-(根号5+2)^2
=(√5-2-√5-2)(√5-2+√5+2)
=-8√5
5.(16^-3×4^3)^1/6
=(4^-6*4^3)^1/6
=(2^-6)^1/6
=2^-1
=1/2
6.-81^3/4÷2^3+(16/49)^-1/2-1
=-3³÷8+7/4-1
=-9/8+14/8-8/8
=-3/8
7.(7^3/2×49^-3/4)^2/3
=7×49^-1/2
=7×1/7
=1