Answer:
[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{11}[/tex]
Step-by-step explanation:
Properties of Exponents
They can be used to simplify expressions of the form
[tex]b^x\cdot b^y=b^{x+y}[/tex]
[tex]\displaystyle \frac{b^x}{b^y}=b^{x-y}[/tex]
The last property will be used to simplify:
[tex]\displaystyle \frac{3^5}{3^{-6}}=3^{5-(-6)}=3^{5+6}=3^{11}[/tex]
[tex]\mathbf{\displaystyle \frac{3^5}{3^{-6}}=3^{11}}[/tex]
