Question

(3^2)^-3 is equal to

Answer 1

Answer:

Step-by-step explanation:

s={11}. Hence, eleven 1/3s make 3 2/3.

PREMISES

y=the number of thirds in the mixed number 3 2/3

ASSUMPTIONS

Let s=the unknown number

CALCULATIONS

The number of 1/3s in a mixed number such as 3 2/3 is informed by simple algebra:

1/3s=3 2/3

(1/3s)3=(3 2/3)3

(s/3)3=(11/3)3

3s/3=(11×3)/3

s=

11

PROOF

If s=11, then the inverse of the statement 1/3s=3 2/3 returns

(3 2/3)3=s

(11/3)3=11 (Flip the equation)

11=(11/3)3 and

11=11 proves the root (zero) s=11 of the statement 1/3s=3 2/3

C.H.