Question

Help me and plssssss reallly

The number (3^2)^4 is equal to the 4th power of a number other than 3^2. Find that number.

Answer 1

Answer: That number is 9.

Explanation:

`9^(4) = 6561\\\\(3^(2) )^(4) = 6561\\\\9^(4) = (3^(2) )^(4)\\\\`

Answer 2

9514 1404 393

Answer:

any of -9, 9i, -9i

Explanation:

The value of (3^2)^4 = 3^8 = 6561. This number has four 4th roots, two of which are imaginary.

6561^(1/4) = 9, -9, 9i, -9i

Thus (3^2)^4 is the 4th power of any of 9, -9, 9i, -9i. In any of these, 9 can be expressed as 3^2 or (-3)^2, if you like.