What is another way to write the function f (x) = 5^x. The choices are

f (x) = (625^x) 1/125

f (x) = 1/125 (625^x)

f (x) = (625^x) ^1/4

f (x) = 1/4 (6256x)

Correct answer is f (x) = (625^x) ^1/4

Step-by-step explanation:

We know that

625 = 5^4

This means

f (x) = (625^x) ^1/4

f (x) = (5^ (4x)) ^1/4

But we know this is equivalent to

f (x) = (5^ (4x * (1/4))) =

= 5^ (x)

Correct answer is f (x) = (625^x) ^1/4

(625^x) ^1/4.

Step-by-step explanation:

625 = 5*5*5*5

so 625^1/4 = 5.

So it is (625^x) ^1/4.