Question

найти значение числового выражения
$sqrt[4]{16*625}$
$81^{-0,75} + (frac{1}{125})^- frac{1}{3} - ( frac{1}{32})$

Answer 1

1) 16 = 2^4
256 = 2^8
√√(16 * 256) = √√2^12 = 2^3 = 8
2)81 ^ (-3/4) + (1/125)^(-1/3) - 1/32 =
= (3^4)^(-3/4) + ((1/5)^3)^(-1/3) - (1/2)^5 =
= 3 ^ (-3) + (1/5) ^ (-1) - (1/2)^5 =
= 1/27 + 5 - 1/32 = (32 + 4320 - 27)/864 = 4325/864
Ответ  4325/864