Question

Please help ASAP will give brainliest
Explain how the Quotient of Powers Property was used to simplify this expression.

three to the fourth power all over nine equals three squared

Answer 1

Answer:

Maybe b

Step-by-step explanation:

3^4/9

3^4/3^2

3^(4-2)

3^2

Answer 2

Answer:

Option B is the correct choice.

Step-by-step explanation:

We have been given an equation. We are asked to solve the given equation using quotient rule of exponents.

The quotient rule of exponent states that while dividing two exponents with same base, we can subtract power of divisor from power of dividend.

First of all, we will write 9 as $3^2$ to make a same base.

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

Using property $\frac{a^m}{a^n}=a^{m-n}$, we can rewrite our given expression as:

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

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

Therefore, option B is the correct choice.