Simplify the expression using the quotient rule of exponents.

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

1 answer

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 \( 5^3 \)).