Question

Which expressions are equivalent to the one below? Check all that apply. 81%

Answer 1

Step-by-step explanation

We must find the equivalent expressions to:

`81^x.`

We will rewrite each expression to check its equivalency.

A. Using the fact that 9 * 9 = 81, we have:

`\lparen9\cdot9)^x=81^x\text{ \checkmark}`

B. Using the distributive property for powers, we have:

`9^x\cdot9^x=\lparen9\cdot9)^x=81^x\text{ \checkmark}`

C. Taking into account point B, we see that:

D. Taking into account point B, we see that:

`9^2\cdot9^x\\e9^x\cdot9^x=81^{x\text{ }}✖`

E. Taking into account point B, we see that:

F. Rewriting the expression, we see that:

`9^(2x)=(9^2)^x=81^x\text{ \checkmark}`Answer

The equivalent expressions are A, B and F.