4)) Simplify. Express your answer using positive exponents. \( \frac{6 r \cdot 4 r^{2}}{6 r^{4}} \) Submit

To simplify the expression \(\frac{6 r \cdot 4 r^{2}}{6 r^{4}}\), start by multiplying the terms in the numerator: \(6 r \cdot 4 r^{2} = 24 r^{3}\). So, the expression becomes \(\frac{24 r^{3}}{6 r^{4}}\). Now, divide the coefficients: \(24 \div 6 = 4\), and for the variables, use the law of exponents for division: \(r^{3} \div r^{4} = r^{3-4} = r^{-1}\). Therefore, the expression simplifies to \(4 r^{-1}\). To express this with positive exponents, rewrite it as \(\frac{4}{r}\).