[tex] \sqrt[4]{1000} / \sqrt{100} * 10^{5/4} [/tex]

1) ⁴ √ 1000 = ⁴ √ 10³ = 10 ^ 3/4 2) 10 ^ 3/4 : √ 100 = 10 ^ 3/4 : 10 = 10 ^ ( 3/4 - 4/4 ) = 10 ^ - 1/4 3) 10 ^ - 1/4 * 10 ^ 5/4 = 10 ^ ( - 1/4 + 5/4 ) = 10 ^ 4/4 = 10 Ответ 10