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Simplify. Express your answer using positive exponents.\newline5c35c⋅c\frac{5c^3}{5c \cdot c}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline5c35c⋅c\frac{5c^3}{5c \cdot c}
  1. Simplify denominator: Simplify the denominator 5c×c5c \times c.\newlineCalculation: 5c×c=5c25c \times c = 5c^2
  2. Rewrite with simplified denominator: Rewrite the expression with the simplified denominator.\newlineCalculation: 5c35c2\frac{5c^3}{5c^2}
  3. Apply quotient rule for exponents: Apply the quotient rule for exponents, am/an=a(m−n)a^m / a^n = a^{(m-n)}.\newlineCalculation: 5c3/5c2=5(1)∗c(3−2)=5∗c1=5c5c^3 / 5c^2 = 5^{(1)} * c^{(3-2)} = 5 * c^1 = 5c

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