Rewrite the following expressions: 27^1/2 * 27^1/4 .(1 point)

To rewrite the expression \(27^{1/2} \cdot 27^{1/4}\), you can use the property of exponents which states that when multiplying like bases, you add the exponents:

\[
27^{1/2} \cdot 27^{1/4} = 27^{(1/2 + 1/4)}
\]

First, find a common denominator to add \(1/2\) and \(1/4\):

\[
1/2 = 2/4
\]

So,

\[
1/2 + 1/4 = 2/4 + 1/4 = 3/4
\]

Thus, the expression simplifies to:

\[
27^{3/4}
\]

So, \(27^{1/2} \cdot 27^{1/4} = 27^{3/4}\).

Among the options given, the answer is:

**27^{3/4}**.