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Simplify. Express your answer using positive exponents. \newline8v7v\frac{8v^7}{v}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline8v7v\frac{8v^7}{v}
  1. Write Expression: Write down the expression to be simplified.\newlineWe have the expression 8v7v\frac{8v^7}{v}.
  2. 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. So, 8v7/v8v^7/v can be written as 8×v7−18 \times v^{7-1}.
  3. Perform Subtraction: Perform the subtraction in the exponent.\newlineSubtract the exponents: 7−1=67 - 1 = 6.\newlineSo, 8×v7−18 \times v^{7-1} becomes 8×v68 \times v^6.
  4. Write Final Expression: Write the final simplified expression.\newlineThe expression 8v7v\frac{8v^7}{v} simplifies to 8v68v^6.

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