4) Simplify. Express your answer using positive exponent \( \frac{5 c^{3}}{5 c \cdot c^{0}} \)

To simplify the expression \( \frac{5 c^{3}}{5 c \cdot c^{0}} \), first, note that \( c^{0} = 1 \), so the denominator simplifies to \( 5c \). This reduces the expression to \( \frac{5 c^{3}}{5 c} \). The 5’s cancel out, leaving us with \( \frac{c^{3}}{c} \). Applying the property of exponents \( \frac{c^{m}}{c^{n}} = c^{m-n} \), we get \( c^{3-1} = c^{2} \). Thus, the simplified expression is \( c^{2} \).