2x²·8y¹⁰

To simplify the expression \(2x^2 \cdot 8y^{10}\), you can multiply the coefficients and combine the variables.

1. Multiply the coefficients: \(2 \cdot 8 = 16\).
2. Combine the variables: \(x^2\) and \(y^{10}\) remain as they are since they cannot be combined further.

So, the simplified expression is:

\[ 16x^2y^{10} \]