Rewrite the following expressions: 2712⋅2714.(1 point)

To rewrite the expression \(2712 \cdot 2714\), we can apply the properties of exponents.

First, we can rewrite \(2712\) and \(2714\) in terms of exponent base \(27\):

\[
2712 = 27^{12} \quad \text{and} \quad 2714 = 27^{14}
\]

Now we can combine these two using the property of exponents:

\[
2712 \cdot 2714 = 27^{12} \cdot 27^{14} = 27^{12 + 14} = 27^{26}
\]

Thus, \(2712 \cdot 2714\) can be rewritten as:

\[
27^{26}
\]

Now, let's evaluate the given options based on this:

1. \(27^{\sqrt{4}} = 27^2\)
2. \(27^{\frac{3}{4}}\)
3. \(27^{\frac{1}{8}}\)
4. \(27^{\sqrt{3}}\)

None of these options matches \(27^{26}\).

Combining in a different way, we can note that:

\[
2712 \cdot 2714 = (27^{13})^2 - 1^2 \quad \text{(using difference of squares)}
\]

Thus, another expression could be given as:

\[
(27^{13})^2 - 1^2 = 27^{26} - 1
\]

In conclusion, the most direct rewriting for the expression is \(27^{26}\). If we need to find a form from the options, none is equivalent to \(27^{26}\).