Question

`(3^(2) )/(6^(2) )`÷
`(2^(2) )/(2^(2) )` AYUDAAAA !!!

Answer 1

1/4

Explanation:

Simplify the following:

(3^2/6^2)/(2^2/2^2)

Multiply the numerator by the reciprocal of the denominator, (3^2/6^2)/(2^2/2^2) = 3^2/6^2×2^2/2^2:

(3^2×2^2)/(6^2×2^2)

(3^2×2^2)/(6^2×2^2) = 2^2/2^2×3^2/6^2 = 3^2/6^2:

3^2/6^2

6^2 = 36:

3^2/36

3^2 = 9:

9/36

The gcd of 9 and 36 is 9, so 9/36 = (9×1)/(9×4) = 9/9×1/4 = 1/4:

Answer: 1/4