Question

What are 3 exponents that equal 216 except for 6 to the 3rd power?

Answer 1

Answer: First find the prime factorization of 216, then piece it back together in different ways. We are going to us multiple exponents.

216 = 6 x 6 x 6 = 2 x 3 x 2 x 3 x 2 x 3

Therefore, we could write it as:

(2^3)(3^3)

or

(6^1)(2^2)(3^2)

or

(6^2)(2^1)(3^1)