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Simplify. Express your answer using positive exponents.\newline6q96q\frac{6q^9}{6q}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline6q96q\frac{6q^9}{6q}
  1. Write Expression: Write down the given expression.\newlineThe given expression is 6q96q\frac{6q^9}{6q}.
  2. Simplify Coefficients: Simplify the coefficients.\newlineDivide the coefficients 66 by 66.\newline66=1\frac{6}{6} = 1
  3. Simplify Variables: Simplify the variables with exponents. Divide q9q^9 by qq, which is the same as q9/q1q^9 / q^1. When we divide powers with the same base, we subtract the exponents. q9/q1=q9−1=q8q^9 / q^1 = q^{9-1} = q^8
  4. Combine Simplified Terms: Combine the simplified coefficients and variables.\newlineSince the coefficient is 11, it does not need to be written.\newlineThe simplified expression is q8q^8.

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