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:

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

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

`((5\cdot5)^x)/(5^x)=(5^x\cdot5^x)/(5^x)=5^x.`

A)

`(5^(x)*5^(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:

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