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Simplify. Express your answer using positive exponents.\newline3v33v\frac{3v^3}{3v}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newline3v33v\frac{3v^3}{3v}
  1. Write as fraction: Simplify the expression 3v33v^3 divided by 3v3v.\newlineFirst, write the expression as a fraction: 3v33v\frac{3v^3}{3v}.
  2. Cancel common terms: Cancel out the common terms in the numerator and the denominator. 3v33v=v3v\frac{3v^3}{3v} = \frac{v^3}{v}.
  3. Simplify powers of v: Simplify the powers of v using the rule va/vb=va−bv^a / v^b = v^{a-b}. \newlinev3/v=v3−1=v2v^3 / v = v^{3-1} = v^2.

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