45 в степени 3целых 1/2 - 135 в степени 3целых 1/3

45 ^ ( 3 1/2 ) - 135 ^ ( 3 1/3 ) ------------------------------ 1) 45 ^ 7/2 = ( 9 * 5)^ 7/2 = ( 9 ^ 7/2 ) * ( 5 ^ 7/2 ) = ( 3 ^2 )^ 7/2 * ( 5 ^ 7/2 ) = = (3 ^ 7) * (5 ^ 7/2 ) = (3^7 ) * ( 5^21/6 ) ------------------------------ 2) 135 ^ 10/3 = ( 3 * 9 * 5 ) ^ 10/3 = (( 3 ^ 3 ) ^ 10/3) * 5 ^ 10/3 = (3 ^ 10) * (5 ^ 10/3) = = (3^10) * ( 5^20/6)  ------------------------------ 3) 3^7 * 5^21/6 - 3^10 * 5 ^20/6 = (3 ^ 7 * 5 ^ 20/6) * ( 5 ^ 1/6 - 3 ^3 ) =  = ( 2187 * ⁶√ 5^20 ) * ( ⁶√ 5 - 27 ) - Ответ