Question

Use the properties of exponents to simplify. Express all answers using positive exponents.each)35x10 over 5x^5

Answer 1

Consider the given expression,

`(35x^(10))/(5x^5)`

Consider the property,

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

Then the given expression can be simplified as follows,

`\begin{gathered} (35x^(10))/(5x^5) \\ =(35)/(5)*(x^(10))/(x^5) \\ =7* x^(10-5) \\ =7* x^5 \\ =7x^5 \end{gathered}`

Thus, the given expression is simplified as,

`(35x^(10))/(5x^5)=7x^5`