Simplify. Your answer should contain only positive exponents. 1) \( 2 m^{2} \cdot 2 m^{3} \) 2) \( m^{4} \cdot 2 m^{-3} \) 3) \( 4 r^{-3} \cdot 2 r^{2} \) 4) \( 4 n^{4} \cdot 2 n^{-3} \) 5) \( 2 k^{4} \cdot 4 k \) 6) \( 2 x^{3} y^{-3} \cdot 2 x^{-1} y^{3} \) 7) \( 2 y^{2} \cdot 3 x \) 8) \( 4 v^{3} \cdot v u^{2} \) 9) \( 4 a^{3} b^{2} \cdot 3 a^{-4} b^{-3} \) 10) \( x^{2} y^{-4} \cdot x^{3} y^{2} \) 11) \( \left(x^{2}\right)^{0} \) 12) \( \left(2 x^{2}\right)^{-4} \)

Sure, here are the simplified expressions with only positive exponents: 1) \(2 m^{2} \cdot 2 m^{3}\) \[ 4 m^{5} \] 2) \(m^{4} \cdot 2 m^{-3}\) \[ 2 m \] 3) \(4 r^{-3} \cdot 2 r^{2}\) \[ \frac{8}{r} \] 4) \(4 n^{4} \cdot 2 n^{-3}\) \[ 8 n \] 5) \(2 k^{4} \cdot 4 k\) \[ 8 k^{5} \] 6) \(2 x^{3} y^{-3} \cdot 2 x^{-1} y^{3}\) \[ 4 x^{2} \] 7) \(2 y^{2} \cdot 3 x\) \[ 6 x y^{2} \] 8) \(4 v^{3} \cdot v u^{2}\) \[ 4 v^{4} u^{2} \] 9) \(4 a^{3} b^{2} \cdot 3 a^{-4} b^{-3}\) \[ \frac{12}{a b} \] 10) \(x^{2} y^{-4} \cdot x^{3} y^{2}\) \[ \frac{x^{5}}{y^{2}} \] 11) \(\left(x^{2}\right)^{0}\) \[ 1 \] 12) \(\left(2 x^{2}\right)^{-4}\) \[ \frac{1}{16 x^{8}} \]