Rewrite the following expressions: 2712⋅2714 .(1 point) Responses 27−−√4 root index 4 Start Root 27 End Root 27−−√3 root index 3 Start Root 27 End Root 2734 27 superscript Start Fraction 3 over 4 End Fraction baseline 2718

Answer 1

The expression \( 2712 \cdot 2714 \) can be rewritten using properties of exponents.

1. Using Exponent Properties: \[ 2712 \cdot 2714 = 27^{12} \cdot 27^{14} = 27^{12 + 14} = 27^{26} \]

2. Using Root Properties: The expression \( 27^{12} \cdot 27^{14} \) can also be expressed in radical form: \[ 27^{26} = \sqrt[4]{27^4} = \sqrt[3]{27^3} = 27^{3 \cdot \frac{26}{3}} = 27^{\frac{78}{3}} = 27^{26} \]

So, combining these, we can write:

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

This is a simplified and rewritten form of the expression \( 2712 \cdot 2714 \).