1.
a)2⁻⁴*2⁶=2⁻⁴+⁶=2²=4
b)3⁻²/3⁻⁴=3⁴/3²=3⁴⁻²=3²=9
2.
a)(a⁶*a⁻⁴)/a⁻²=a⁶⁻⁴⁻⁽⁻²⁾=a⁴
b)(x⁴)⁻²*x⁵=x⁻⁸⁺⁵=x⁻³=1/x³
3.
(6⁻⁴*2⁻¹)/12⁻³=1/(6⁴*2)/12³=1/(36²*2)/1728=1/(3*2)/4=1/3/2=2/3
4.
(a⁻¹-b⁻¹)²+4a⁻¹b⁻¹=(1/a-1/b)²+4/(ab)=(b/(ab)-a/(ab))²+4/(ab)=((b-a)/(ab))²+4/(ab)=((b-a)²+4ab)/(a²b²)=(b²+2b+a²)/(a²b²)=(b+a)²/(a²b²)=1
5.
((ab)⁻¹*(2ab)²/(a²-b²))*((a-b)/(a+b)-(a+b)/(a-b))⁻¹=((2ab)²/(a²-b²))/((ab)(a+b)-(a+b)/(a-b))=(2ab)²/((a²-b²)ab((a-b)²/(a-b)(a+b)+(-a-b)(a+b)/(a-b)(a+b))=(2ab)²/((a²-b²)((-4abab)/((a-b)(a+b))=(a²b²)/(-abab)=1/-1=-1
так вроде.