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Simplify. Express your answer using positive exponents.\newline10w810w\frac{10w^8}{10w}

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Q. Simplify. Express your answer using positive exponents.\newline10w810w\frac{10w^8}{10w}
  1. Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression.\newlineWe have the same number 1010 in the numerator and the denominator, so they can be divided out.\newline10w8/10w=(10/10)(w8/w)10w^8 / 10w = (10/10) \cdot (w^8 / w)\newline=1(w8/w)= 1 \cdot (w^8 / w)\newlineSince 1010 divided by 1010 is 11, there is no math error here.
  2. Apply Quotient Rule: Apply the quotient rule for exponents to simplify the variable part of the expression.\newlineThe quotient rule states that when we divide powers with the same base, we subtract the exponents.\newlinew8/w=w(81)=w7w^8 / w = w^{(8-1)} = w^7\newlineSince we are subtracting 11 from 88, there is no math error here.
  3. Combine Results: Combine the results from Step 11 and Step 22 to write the final simplified expression.\newline1×w7=w71 \times w^7 = w^7\newlineThis is the simplified expression using positive exponents.