Question

Use operations of exponent to simplify

3^5/3^-6

Answer 1

`\displaystyle (3^5)/(3^(-6))=3^(11)`

Explanation:

Properties of Exponents

They can be used to simplify expressions of the form

`b^x\cdot b^y=b^(x+y)`

`\displaystyle (b^x)/(b^y)=b^(x-y)`

The last property will be used to simplify:

`\displaystyle (3^5)/(3^(-6))=3^(5-(-6))=3^(5+6)=3^(11)`

`\mathbf{\displaystyle (3^5)/(3^(-6))=3^(11)}`