Question

Simplify 12^53 ÷ 7^53

Answer 1

To simplify the expression \(12^{53} \div 7^{53}\), we can rewrite it using the property of exponents:

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

Thus, the simplified expression is:

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

This is the simplest form. If you need to evaluate it further or find an approximate numerical value, we can compute \(\frac{12}{7}\):

\[
\frac{12}{7} \approx 1.714285714
\]

Then, raising that result to the 53rd power would give us a very large number, but the exact expression remains:

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