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Simplify. Express your answer using positive exponents.\newline3v63v4\frac{3v^6}{3v^4}

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Q. Simplify. Express your answer using positive exponents.\newline3v63v4\frac{3v^6}{3v^4}
  1. Write Expression: Write down the expression to be simplified.\newlineWe have the expression 3v63v4\frac{3v^6}{3v^4}.
  2. Simplify Coefficients: Simplify the coefficients.\newlineSince the coefficients are both 33, they divide out to 11.\newline33=1\frac{3}{3} = 1
  3. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineThe quotient rule states that when we divide two powers with the same base, we subtract the exponents.\newlinev6/v4=v(64)=v2v^6/v^4 = v^{(6-4)} = v^2
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineSince the coefficients simplified to 11, we are left with just the variable part.\newline1×v2=v21 \times v^2 = v^2
  5. Write Final Expression: Write the final simplified expression.\newlineThe expression 3v63v4\frac{3v^6}{3v^4} simplifies to v2v^2.