Question

Which expressions are equivalent to the one below? Check all that apply. ୨| 25% 5* A. 5* .5% 5% B. 5 C. (25-5) D. 25% E. 5 F. 5

Answer 1

We have the expression:

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

Using the distributive property for exponents, we write the expression as:

$\frac{(5\cdot5)^x}{5^x}=\frac{5^x\cdot5^x}{5^x}=5^x.$

A)

$\frac{5^{x}\times5^{x}}{5^{x}}$

From the form above we see that this expression is equivalent.

B)

$5^x$

From the form above we see that this expression is equivalent.

C) We have the expression:

$(25-5)^x.$

Simplifying this expression, we have:

s