Simplify this expression using the quotient rule of integer exponents 12^53 divided by 7^53

Answer 1

To simplify the expression \( \frac{12^{53}}{7^{53}} \) using the quotient rule of integer exponents, we can recall that the quotient rule states \( \frac{a^m}{b^m} = \left( \frac{a}{b} \right)^m \).

Applying this rule to your expression:

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

Thus, the simplified expression is:

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