Question

Which expressions are equivalent to the one below? Check all that apply.

5x

A. 15^x/3

B. 5.5^x+1

C. (15/3)^x

D. 5^x

E. 5.5x-1

F.15^x/3^x

Answer 1

C and D

Explanation:

• The expression 5x cannot be simplified further, but we can check which expressions are equivalent to it.

The expressions that are equivalent to 5x are:

• C. (15/3)^x = 5^x
• D. 5^x

Therefore, the expressions that are equivalent to 5x are C. (15/3)^x and D. 5^x.

None of the other expressions listed are equivalent to 5x.

• A. 15^x/3 = (3*5)^x/3 = 3^x * 5^x/3, which is not equivalent to 5x.
• B. 5.5^(x+1) = 5.5^x * 5.5^1 = 5.5^x * 5.5, which is not equivalent to 5x.
• E. 5.5x-1 = 5x * 5^-1 = 5x/5, which is not equivalent to 5x.
• F. 15^x/3^x = (3*5)^x/3^x = 3^x * 5^x/3^x, which is not equivalent to 5x.