Question

Explain how the Quotient of Powers Property was used to simplify this expression.

Answer 1

Answer:

The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.

Step-by-step explanation:

You have to make the expressions into the same base :

$\frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} }$

Next, you have to apply Indices Law :

${a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n}$

${3}^{4} \div {3}^{2}$

$= {3}^{4 - 2}$

$= {3}^{2}$