describe how to simplify the expression $\frac{3^{-6}}{3^{-4}}$.\ndivide the bases and then add the…

describe how to simplify the expression $\frac{3^{-6}}{3^{-4}}$.\ndivide the bases and then add the exponents.\nkeep the base the same and then add the exponents.\nmultiply the bases and then subtract the exponents.\nkeep the base the same and then subtract the exponents.

describe how to simplify the expression $\frac{3^{-6}}{3^{-4}}$.\ndivide the bases and then add the exponents.\nkeep the base the same and then add the exponents.\nmultiply the bases and then subtract the exponents.\nkeep the base the same and then subtract the exponents.

Answer

Explanation:

Step1: Recall exponent - division rule

For $\frac{a^m}{a^n}$ where $a\neq0$, the rule is $\frac{a^m}{a^n}=a^{m - n}$. In the given expression $\frac{3^{-6}}{3^{-4}}$, the base $a = 3$, $m=-6$ and $n = - 4$.

Step2: Apply the rule

We keep the base 3 the same and subtract the exponents. So $\frac{3^{-6}}{3^{-4}}=3^{-6-(-4)}=3^{-6 + 4}=3^{-2}$.

Answer:

Keep the base the same and then subtract the exponents.