Question

Use properties of exponents to simplify the given expression. (5⁵)/(5³)

Answer 1

5²

Explanation:

5⁵

5³

subtract the exponents

5-3=2

5²

you can also write out each five and cancel

5×5×5×5×5

5×5×5

2 5s are left over

Answer 2

Answer: x²

Explanation:

Our task is to simplify the following:

`\cfrac{5^5}{5^3}`

To solve this, remember the 2nd property of exponents:

`(x^m)/(x^n) =x^(m-n)`

Similarly,

`(x^5)/(x^3) =x^(5-3)=x^2`

`\therefore` the answer is x²