Simplify this expression using the Quotient Rule of Integer Exponents: 12^53÷7^53 .(1 point)

Question

Responses

12^106
12 superscript 106 baseline

5^53
5 superscript 53 baseline

12^53÷7^53
12 superscript 53 baseline divided by 7 superscript 53 baseline

5^106

Answer 1

To simplify the expression \( 12^{53} \div 7^{53} \) using the Quotient Rule of Integer Exponents, we can apply the rule that states \( \frac{a^m}{b^m} = \left(\frac{a}{b}\right)^m \).

In this case:

\[ \frac{12^{53}}{7^{53}} = \left(\frac{12}{7}\right)^{53} \]

Since none of the provided responses match this result directly, the answer that best represents the simplified expression in the options given is:

\( 12^{53} \div 7^{53} \)

This indicates that the simplification is explicitly shown and is accurate.