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Simplify. Express your answer using positive exponents. \newline10b95b3\frac{10b^9}{5b^3}

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Full solution

Q. Simplify. Express your answer using positive exponents. \newline10b95b3\frac{10b^9}{5b^3}
  1. Write Expression: Write down the given expression.\newlineWe have the expression 10b95b3\frac{10b^9}{5b^3} which we need to simplify.
  2. Simplify Coefficients: Simplify the coefficients.\newlineDivide the coefficients 1010 by 55.\newline10/5=210 / 5 = 2
  3. Apply Quotient Rule: Apply the quotient rule for exponents.\newlineWhen dividing powers with the same base, subtract the exponents.\newlineb9/b3=b(9−3)=b6b^9 / b^3 = b^{(9-3)} = b^6
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe have the coefficient 22 from Step 22 and the power b6b^6 from Step 33.\newlineSo, 10b95b3=2b6\frac{10b^9}{5b^3} = 2b^6

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