Simplify this expression using the Quotient rule of integer exponents 12⁵³ ÷ 7⁵³

Answer 1

To simplify the expression \( 12^{53} \div 7^{53} \) using the Quotient Rule of integer exponents, we apply the rule which states that:

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

In our case, we can express the original problem as:

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

Therefore, the simplified expression is:

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