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Simplify. Express your answer using positive exponents. $\newline$ $\frac{4r^9}{2r^8}$

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Multiply powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{4r^9}{2r^8}

Write Expression: Write down the expression to be simplified. $\frac{4r^9}{2r^8}$
Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression. $\newline$ Divide $4$ by $2$ to get $2$ . $\newline$ $4/2 = 2$
Apply Quotient Rule: Apply the quotient rule for exponents to simplify the variable part of the expression. $\newline$ The quotient rule states that when dividing like bases, you subtract the exponents. $\newline$ $r^9 / r^8 = r^{(9-8)} = r^1$
Combine Results: Combine the results from Step $2$ and Step $3$ to write the simplified expression. $\newline$ $2 \times r^1 = 2r$
Final Answer: Since $r^1$ is the same as $r$ , we can write the final answer as just $2r$ .

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