Question
Simplify this expression using Quotient Rule of integer exponents 12^53 divided by 7^53=
Answers
Answered by
GPT-4o mini
To simplify the expression \( \frac{12^{53}}{7^{53}} \), we can use the property of exponents 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:
\[
\left(\frac{12}{7}\right)^{53}
\]
\[
\frac{a^m}{b^m} = \left(\frac{a}{b}\right)^m
\]
In this case, we have:
\[
\frac{12^{53}}{7^{53}} = \left(\frac{12}{7}\right)^{53}
\]
Thus, the simplified expression is:
\[
\left(\frac{12}{7}\right)^{53}
\]
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