Question

How could u simplify x to the power of negative 5 over x to the power of 3 using a positive exponent only. What is the answer

Answer 1

To simplify the expression using a positive exponent only, we can use the properties of exponents.

Division with Same Base

When dividing two terms with the same base, you can subtract the exponents.

Negative exponents

When you have an expression written with negative exponents you can apply a property of exponents to convert them into positive exponents. This property states that
`x^-^n=(1)/(x^n)`

`(x^-^5)/(x^3)` - the same base, we subtract the exponents

`(-5)-3=-8`

`x^-^8`

`x^-^8=(1)/(x^8)`

Answer

The simplified form of the expression using only positive exponents is
`(1)/(x^8)`.