Вычислить : 1)2^-2*64^1\3-64^1\3:2^-4 2) 8^1\4:2^-4+3^-3*81^1\4 3)√4+2*√2-∛4-2*√2 4)√15+√46*√17-√46

Вычислим значения выражений:

1) 2^(-2) * 64^(1/3) - 64^(1/3) : 2^(-4) = 64^(1/3) * (2^(-2) - 1/2^(-4)) = (4^3)^(1/3) * (1/2^2 - 1/2^4) = 4^(3 * 1/3) * (1/4 - 1/16) = 4 * (4 - 1)/16 = 4 * 3/16 = 3/4; 

2) 8^(1/4) : 2^(-4) + 3^(-3) * 81^(1/4) = 2^(3/4)/2^(-4) + 3^(-3) * 3^(4/4) = 2^3/2^4 * 2^4 + 3^(-3) * 3 = 2^3 + 3^(-3 + 1) = 8 + 1/9 = 8 1/9; 

3) √4 + 2 *√2 - ∛4 - 2 * √2 = √4 - ∛4  = 2 - 2^(2/3);

4) √15 + √46 * √17 - √46 = √15 + √46 * (√17 - 1).