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

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Simplify exponential expressions using the multiplication rule

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{10b^9}{5b^3}

Write Expression: Write down the given expression. $\newline$ We have the expression $\frac{10b^9}{5b^3}$ which we need to simplify.
Simplify Coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $10$ by $5$ . $\newline$ $10 / 5 = 2$
Apply Quotient Rule: Apply the quotient rule for exponents. $\newline$ When dividing powers with the same base, subtract the exponents. $\newline$ $b^9 / b^3 = b^{(9-3)} = b^6$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ We have the coefficient $2$ from Step $2$ and the power $b^6$ from Step $3$ . $\newline$ So, $\frac{10b^9}{5b^3} = 2b^6$

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