5 / 8 times () = () times 2 / 3 = 0.1 times () = () times 12 = 1

5 / 8 times () = () times 2 / 3 = 0.1 times () = () times 12 = 1

5 / 8 times (8 / 5) = (3 / 2) times 2 / 3 = 0.1 times (10) = (1 / 12) times 12 = 1

9 out of 14 times 5 out of 8 times 7 out of 3

15/16

1, solve the equation 9 ^ x + 2.3 ^ (x + 1) - 27 = 0, 2, (6 * 1 / 4) ^ 1 / 2 - (3 * 3 / 8) ^ (- 2 / 3) + (√ 3) ^ 0
(6 * 1 / 4) ^ 1 / 2 - (3 * 3 / 8) ^ (- 2 / 3) + (√ 3) ^ 0

1. Let a = 3 ^ x9 ^ x = A & sup2; 3 ^ (x + 1) = 3A so a & sup2; + 6a-27 = 0 (A-3) (a + 9) = 0A = 3 ^ x > 0 so a = 3 ^ x = 3x = 12, the original formula = (25 / 4) ^ 1 / 2 - (27 / 8) ^ (- 2 / 3) + 1 = [(5 / 2) ^ 2] ^ 1 / 2 - [(3 / 2) ^ 3] ^ (- 2 / 3) + 1 = 5 / 2 - (3 / 2) ^ (- 2) + 1 = 5 / 2-4 / 9 + 1 = 55 / 18

Solve the equation 9 ＾ - X-2 * 3 ＾ 1-x = 27
The negative x power of 9 - the 1-x power of 2 * 3 = 27

9＾-x-2*3＾1-x=27
3^-2x-3(3*3^-x)=27
Let 3 ^ - x = t, because 3 ^ - x > 0, t > 0
t²-6t=27
(t-3)²=36
The solution is: T = 9 ① t = - 3 (t = - 3 is rounded off because t > 0)
Substituting 3 ^ - x into (1) yields:
3^-x=9
x=-2