Question

Rational Exponents Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 55 of 5 Items


Question
What is the simplified form of 2713
?(1 point)

Answer 1

To simplify the expression \( 27^{13} \), we can rewrite 27 as \( 3^3 \). Thus, we have:

\[
27^{13} = (3^3)^{13}
\]

Using the power of a power property, which states that \( (a^m)^n = a^{m \cdot n} \), we can simplify it further:

\[
(3^3)^{13} = 3^{3 \cdot 13} = 3^{39}
\]

Therefore, the simplified form of \( 27^{13} \) is:

\[
3^{39}
\]