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Simplify. Express your answer using positive exponents. \newline3d63d\frac{3d^6}{3d}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline3d63d\frac{3d^6}{3d}
  1. Write Positive Exponents: Write the expression with positive exponents.\newlineThe expression is already given with positive exponents, so no changes are needed here.\newline3d63d\frac{3d^6}{3d}
  2. Simplify Coefficients: Simplify the coefficients.\newlineDivide the coefficients 33 by 33.\newline33=1\frac{3}{3} = 1
  3. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineWhen dividing powers with the same base, subtract the exponents.\newlined6/d1=d(6−1)=d5d^6 / d^1 = d^{(6-1)} = d^5
  4. Combine Results: Combine the results from Step 22 and Step 33.\newline1×d5=d51 \times d^5 = d^5

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