Question

Which expressions are equivalent to the one below? Check all that apply.9xA.32 • 3xB.3• 3xC.(3 • 3)xD.32xE.3 • 32xF.3x • 3x

Answer 1

We are given the expression:

`9^x`

It can be rewritten as:

`9^x=(3^2)^x=3^(2x)`

It can also be converted to the following equivalent expression by using 9 = 3 x 3:

`9^x=(3\cdot3)^x`

We can elaborate on the first equivalent expression:

`3^(2x)=3^(x+x)=3^x\cdot3^x`

Thus, the equivalent expressions are: C, D, and F