Simplify the expression using the quotient rule of exponents.

Question

5(6)/5(3)



(1 point)
Responses

51
5 to the 1th power

518
5 to the 18th power

53
5 cubed

59
5 to the 9th power

Answer 1

To simplify the expression $\frac{5^6}{5^3}$ using the quotient rule of exponents, we can use the rule that states:

$$\frac{a^m}{a^n}=a^{m-n}$$

Applying this rule, we have:

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

Thus, the simplified expression is $5^3$.

The correct response is:

5 cubed (which corresponds to $5^3$).