Q. Simplify. Express your answer using positive exponents.3v43v6
Write Expression: Write down the expression to be simplified.We have the expression 3v43v6.
Simplify Coefficients: Simplify the coefficients.Since the coefficients are both 3, they divide out to 1.33=1
Apply Quotient Rule: Apply the quotient rule for exponents.The quotient rule states that when we divide two powers with the same base, we subtract the exponents.v6/v4=v(6−4)=v2
Combine Results: Combine the results from Step 2 and Step 3.Since the coefficients simplified to 1, we are left with just the variable part.1×v2=v2
Write Final Expression: Write the final simplified expression.The expression 3v43v6 simplifies to v2.
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