1) 9⁴ х 9⁻³ = 9⁴⁻³ = 9¹ = 9
2) 5⁻⁴ х 5³ = 5⁻⁴⁺³ = 5⁻¹ = 1/5 = 0,2
3) (1/2)⁻⁸ х (1/2)⁷ = (1/2)⁻¹ = 2
4) (1/3) х (1/3)¹° = (1/3)¹¹
5) 2⁴ : 2⁵ = 2⁻¹ = 1/2 = 0,5
6) 5 : 5⁻³ = 5¹⁻(⁻³) = 5¹⁺³ = 5⁴
(4a+3)(4a-3)
25x(x^2-3)
2(x+y)^2
Искомые числа 8 и 5
8+5=13
8*5=40
7cos2x + 3sin^2(2x) = 3
7cos2x + 3sin^2(2x) - 3 = 0
7 cos(2x) - 3cos^(2x) = 0
cos(2x) * (3cos(2x-7)) = 0
1) cos2x = 0
2x = π/2 + πn, n∈Z
x= π/4 + (πn)/2, n∈Z
2) 3cos(2x) 7
cos(2x) = 7/3
2x = c0s^(-1)(7/3) + πk, k∈Z
x2 = 1/2cos^(-1) (7/3) + πk, k∈Z
2x = 2πm - cos^(-1)(7/3) + πm, m∈Z
<span>x3 = πm - (1/2)*cos^(-1)(7/3), m∈Z</span>