Simplify the expression using the quotient rule of integer exponents 12 to the 53rd power divided by 7 to the 53rd power

Answer 1

To simplify the expression \( \frac{12^{53}}{7^{53}} \) using the quotient rule of exponents, we can apply the property that states:

\[ \frac{a^m}{b^m} = \left(\frac{a}{b}\right)^m \]

In this case, we have:

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

Thus, the simplified expression is:

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