Use properties of exponents to simplify the given expression. Express the answer in exponential form. \[ 9^{4} \cdot 9^{2} \]

To simplify \( 9^{4} \cdot 9^{2} \), we can use the property of exponents that states when multiplying like bases, we add their exponents. So, we have: \[ 9^{4} \cdot 9^{2} = 9^{4 + 2} = 9^{6} \] Thus, the simplified expression in exponential form is \( 9^{6} \). Now that we have simplified it, consider this: \( 9^{6} \) can also be represented as \( (3^2)^{6} \), further simplifying to \( 3^{12} \). This showcases the versatility of exponents and base transformations!