97. Вычислите: 1) ∛(5³·7³); ⁴√324·⁴√4; ⁴√(15 5/8):⁴√(2/5); 2) 56⁰:8⁻²; 16^(1/4)·25^(1/2); (1/15)⁻¹:9^(1/2); 8^(1/3)·(1/2)⁴:16⁻¹; 3) 27^(1/3)·(1/3)⁻²:81^(3/4); √100·49^(1/2)·35⁻¹; (16·81·625)^(-1/4); (27·0,008·125)^(1/3); ((0,25·64)/0,01)^(-1/2); 4) (5^(1/4)·5^(-1/4))/5²; (7^(7/3)·7^(-4/3))/7²; ((0,3)^(0,3)·(0,3)⁻¹)/(0,3)^(1,3).

∛(5³·7³) = 5·7 = 35.

⁴√324·⁴√4 = ⁴√1296 = 6.

⁴√(15 5/8):⁴√(2/5) = ⁴√((125/8):(2/5)) = ⁴√(625/16) = 5/2.

56⁰:8⁻² = 1:(1/64) = 64.

16^(1/4)·25^(1/2) = 2·5 = 10.

(1/15)⁻¹:9^(1/2) = 15:3 = 5.

8^(1/3)·(1/2)⁴:16⁻¹ = 2·(1/16):(1/16) = 2.

27^(1/3)·(1/3)⁻²:81^(3/4) = 3·9:27 = 1.

√100·49^(1/2)·35⁻¹ = 10·7·(1/35) = 2.

(16·81·625)^(-1/4) = 1/⁴√(2⁴·3⁴·5⁴) = 1/30.

(27·0,008·125)^(1/3) = 27^(1/3)·0,2·5 = 3 = 3.

((0,25·64)/0,01)^(-1/2) = 1600^(-1/2) = 1/40.

(5^(1/4)·5^(-1/4))/5² = 5⁰/25 = 1/25.

(7^(7/3)·7^(-4/3))/7² = 7¹/7² = 1/7.

((0,3)^(0,3)·(0,3)⁻¹)/(0,3)^(1,3) = (0,3)^(0,3−1−1,3) = (0,3)⁻² = 100/9.