E^x*cos(x)-e^x*sin(x)+3*sqrt(2)*x^2
A) (4xy)²=16x²y² б) (2a²c³)³=8a⁶c⁹
в) (-1/2mn)³=-1/8m³n³ г) (-10a³b²)²=100a⁶b⁴
д) -(-4x³c)³=16x⁹c³ e) -(-a²b³c⁴)⁴=-a⁸b¹²c¹⁶
a) 12y*0,5y=6y² б) 8x²*(-3/4y)=-6x²y
в) -n³*3n²=-3n⁵ г) 3/4xy²*16y=12xy³
д) 1,6a²c*(-2ac²)=-3,2a³c³ e) -x³y⁴*1,4x⁶y⁵==1,4x⁹y⁹
Ответ:
a) (-3abc)*(-1/3bc)⁴*(12ab)² = -3abc*1/81b4c4*144a2b2 = -abc*1/27b4c4*144a2b2 = -abc*1/3b4c4*16a2b2 = -16/3a3b7c5 .
б)(1/7xy)⁴*(-49axy)²*(-2ay)в6 = -1/2401x4y4*2401a2x2y2*2ayb6 = -x4y4a2x2y2*2ayb6 = -2b6a3x6y7 .
в)(-0,1bc)⁴*(0,2ac)²*(-10abc)³ = (0.1bc)4*(0.2ac)2*(-(10abc)3) = -0.14*b4c4*0.22*a2c2*1000a3b3c3 = -0.14*b4c4*(1/5)2*a2c2*1000a3b3c3 = -10-4b4c4*1/25a2c2*103a3b3c3 = -(a5b7c9/25*10) = -(a5b7c9/250) .
г)(1 1/7axy)²*(-7/8ay)³*(-2ax)в5 = (1 1/7axy)²*(-(7/8ay)³)*(-2ax)в5 = 64/49a2x2y2*343/512a3y3*2axb5 = a2x2y2*7/8a3y3axb5 .