1 answer
(click or scroll down)
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 \( 2712 \cdot 2714 \).