Question

Use operations of exponent to simplify

3^5/3^-6

Answer 1

Answer:

$\displaystyle \frac{3^5}{3^{-6}}=3^{11}$

Step-by-step explanation:

Properties of Exponents

They can be used to simplify expressions of the form

$b^x\cdot b^y=b^{x+y}$

$\displaystyle \frac{b^x}{b^y}=b^{x-y}$

The last property will be used to simplify:

$\displaystyle \frac{3^5}{3^{-6}}=3^{5-(-6)}=3^{5+6}=3^{11}$

$\mathbf{\displaystyle \frac{3^5}{3^{-6}}=3^{11}}$