Question

Question content area top
Part 1
Evaluate the following exponential expression.
left parenthesis three halves right parenthesis Superscript 4

Answer 1

To evaluate the expression \(\left( \frac{3}{2} \right)^4\), we can calculate it as follows:

\[
\left( \frac{3}{2} \right)^4 = \frac{3^4}{2^4}
\]

Now, calculate \(3^4\) and \(2^4\):

\[
3^4 = 3 \times 3 \times 3 \times 3 = 81
\]

\[
2^4 = 2 \times 2 \times 2 \times 2 = 16
\]

Now, we can put these values back into the fraction:

\[
\left( \frac{3}{2} \right)^4 = \frac{81}{16}
\]

Thus, the evaluated result of \(\left( \frac{3}{2} \right)^4\) is:

\[
\frac{81}{16}
\]