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Simplify. Express your answer using positive exponents.\newline6w26w7\frac{6w^2}{6w^7}

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Multiply and divide powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline6w26w7\frac{6w^2}{6w^7}
  1. Simplify coefficients: Simplify the coefficients (numbers in front of the variables).\newlineWe have the same number 66 in the numerator and the denominator, so they cancel each other out.\newline66=1\frac{6}{6} = 1
  2. Apply quotient rule: Apply the quotient rule for exponents.\newlineThe quotient rule states that when you divide powers with the same base, you subtract the exponents.\newlinew2w7=w2−7=w−5\frac{w^2}{w^7} = w^{2-7} = w^{-5}
  3. Express with positive exponents: Express the answer using positive exponents.\newlineSince we have a negative exponent, we can rewrite w−5w^{-5} as 1w5\frac{1}{w^5} to express it with a positive exponent.

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