1.а)
4^-2 • 16 = 4^-2 • 4^2 = 4^0 = 1
1.б)
2^8 : 2^-13 = 2^-5 = 1/32
1.в)
( 6^3 )^-3 : 6^-12 = 6^-9 : 6^-12 = 6^3 = 216
1.г)
24•2^-5 + 5^-2 • 125 = 24•2^-5 + 5 = (24/32) + 5 = 5,75
2)
1) y^9 • ( y^3 )^8 = y^9 • y^24 = y^33
2) ( y^5 )^6 = y^30
3) y^33 : y^30 = y^3
4) y = ( - 5 )
( - 5 )^3 = - 125
3)
52000000 = 5,2 • 10^7
0,00281 = 28,1 • 10^-4
A) x(4-y^2)=x(2-y)(2+y)
б)
в) 2x^4+x^3+16x+8
x^3(2x+1)+8(2x+1)
(2x+1)(x^3+8)
(2x+1)(x^3+2^3)
(2x+1)(x+2)(x^2-2x+4)
(4a/20+5a/20)*a^2/9 = 9a/20 * a^2/9= a^3/20 = 7.8^3/20 = 7.8*7.8*7.8/20 = 23.7278