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:

$\frac{25^x}{5^x}$

Apply the exponential rule:

$\frac{x^a}{y^a}=(\frac{x}{y})^a$

Therefore, the expression can be written to be:

$\Rightarrow(\frac{25}{5})^x$

The original expression can be rewritten to be:

$\Rightarrow\frac{(5\cdot5)^x}{5^x}$

Apply the exponential rule:

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

Therefore, the expression can be written to be:

$\Rightarrow\frac{5^x\cdot5^x}{5^x}$

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