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Simplify. Express your answer using positive exponents. \newline6c53c4⋅c\frac{6c^5}{3c^4 \cdot c}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline6c53c4⋅c\frac{6c^5}{3c^4 \cdot c}
  1. Simplify Terms: Simplify the expression inside the parentheses.\newlineWe have a multiplication of terms with the same base inside the parentheses, so we add the exponents.\newline3c4×c=3c4+1=3c53c^4 \times c = 3c^{4+1} = 3c^5
  2. Divide Terms: Divide the terms.\newlineNow we divide 6c56c^5 by 3c53c^5.\newline6c5/3c5=(6/3)⋅(c5/c5)6c^5 / 3c^5 = (6/3) \cdot (c^5/c^5)
  3. Simplify Coefficients and Powers: Simplify the coefficients and the powers of cc. The coefficients 66 and 33 simplify to 22, and c5c^5 divided by c5c^5 is 11 since any number to the power of 00 is 11. (6/3)×(c5/c5)=2×1=2(6/3) \times (c^5/c^5) = 2 \times 1 = 2

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