437.- Найдите значение выражения: a) 81-0,75 + ($$\frac{1}{125}$$)$$^{-\frac{1}{3}}$$ - ($$\frac{1}{32}$$)$$^{-\frac{3}{5}}$$; б) 0,001 -$$\frac{1}{3}$$ -(-2)-2 64$$\frac{2}{3}$$ - 8$$^{-\frac{1}{3}}$$ + (90)2;

а) 81^-0,75 + ($$\frac{1}{125}$$)$$^{-\frac{1}{3}}$$ - ($$\frac{1}{32}$$)$$^{-\frac{3}{5}}$$ = (3⁴)^-3/4 + (125)^1/3 - (32)^3/5 = 3^-3 + 5 - (2⁵)^3/5 = $$\frac{1}{27}$$ + 5 - 2³ = $$\frac{1}{27}$$ + 5 - 8 = $$\frac{1}{27}$$ - 3 = $$\frac{1}{27}$$ - $$\frac{81}{27}$$ = -$$\frac{80}{27}$$ = -2$$\frac{26}{27}

б) 0,001^-1/3 - (-2)^-2 ⋅ 64^2/3 - 8^-1/3 + (9⁰)$$^2$$ = (1/1000)^-1/3 - 1/4 ⋅ (2⁶)^2/3 - (2³)^-1/3 + 1 = 1000^1/3 - 1/4 ⋅ 2⁴ - 2^-1 + 1 = 10 - 1/4 ⋅ 16 - 1/2 + 1 = 10 - 4 - 1/2 + 1 = 7 - 1/2 = 6$$\frac{1}{2}