Question

you can use properties of exponents to see why it makes sense that $3^0 = 1$.
how can you write the quotient as a single power?
$1 = \frac{3^1}{3^1}$
= ?

Explanation:

Step1: Apply exponent quotient rule

Recall the rule $\frac{a^m}{a^n}=a^{m-n}$. Here $a=3$, $m=1$, $n=1$.
$\frac{3^1}{3^1}=3^{1-1}$

Step2: Simplify the exponent

Calculate the exponent value.
$3^{1-1}=3^0$

Answer:

$3^0$