3). а, 2^15*2^2/2^14=2^17/2^14=2^3=8; б). 3^10*(3^3)^3/(3^4)^4=3^10*3^9/3^16=3^19/3^16=3^3=27. 4). 1). -6m^5n^3*4n^2m^4= -24m^9n^5; 2). (-2m^7n^2)^4=16m^28n^8.
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Ax²+bx+c=0
x₁+x₂=-b/a
x₁x₂=c/a
5x²-2x-1=0
x₁+x₂=2/5
x₁x₂=-1/5
(x₁+x₂)²=x₁²+x₂²+2x₁x₂=(2/5)²
x₁²+x₂²-2/5=4/25
x₁²+x₂²=14/25
!x₁-x₂!=√(x₁-x₂)²=√(x₁²+x₂²-2x₁x₂)=√(14/25+2/5)=√(24/25)=√24/5