Question

Which function has a simplified base of 43/4? A) f(x) = (2/16)⁴ B) f(x) = (23/64)⁴ C) f(x) = (42/16)⁴ D) f(x) = 4(364/4)z

Answer 1

The function with a simplified base of 43/4, we need to simplify each option and see which one equals 43/4. The correct answer is: B

The function with a simplified base of 43/4, we need to simplify each option and see which one equals 43/4.

Let's evaluate each option:

A)
`f(x) = (2/16)^4` Simplify the base:
`(2/16)^4 = (1/8)^4 = 1/4096`

B)
`f(x) = (23/64)^4` This is already in simplified form, but let's check:
`(23/64)^4 = 279841/16777216`

C)
`f(x) = (42/16)^4` Simplify the base:
`(42/16)^4 = (21/8)^4`

D)
`f(x) = 4(364/4)^Z` This doesn't seem to be the correct form, and it involves a variable z that is not specified.

Therefore, the correct answer is
`f(x) = (23/64)^4` as it equals 43/4 when simplified.