Question

Which expressions are equivalent to the one below? Check all that apply.25*5*A. 5B.5C. 5*OD. 25XE. (25-5)*OF.5* .5*5*

Answer 1

The expression is given to be:

`(25^x)/(5^x)`

Apply the exponential rule:

`(x^a)/(y^a)=((x)/(y))^a`

Therefore, the expression can be written to be:

`\Rightarrow((25)/(5))^x`

The original expression can be rewritten to be:

`\Rightarrow((5\cdot5)^x)/(5^x)`

Apply the exponential rule:

`(a\cdot b)^m=a^m\cdot b^m`

Therefore, the expression can be written to be:

`\Rightarrow(5^x\cdot5^x)/(5^x)`

Hence, the entire expression can be simplified by canceling common terms to give:

`\Rightarrow5^x`

ANSWER

The correct options are:

OPTION B

OPTION C

OPTION F