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Simplify. Express your answer using positive exponents. $\newline$ $\frac{2c^6}{2c^5}$

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Multiply powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{2c^6}{2c^5}

Question Prompt: Question prompt: Simplify the expression $2c^6$ divided by $2c^5$ using positive exponents.
Write Expression: Write down the given expression. $\newline$ The given expression is $\frac{2c^6}{2c^5}$ .
Simplify Coefficients: Simplify the coefficients. $\newline$ Since the coefficients are the same $\frac{2}{2}$ , they divide out to $1$ . $\newline$ $\frac{2}{2} = 1$
Apply Quotient Rule: Apply the quotient rule for exponents. $\newline$ When dividing powers with the same base, subtract the exponents. $\newline$ $c^6 / c^5 = c^{(6-5)} = c^1$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ Since $\frac{2}{2}$ is $1$ and $c^6/c^5$ is $c^1$ , the simplified expression is: $\newline$ $1 \times c^1 = c$
Final Simplified Expression: Since $c^1$ is simply $c$ , the final simplified expression is $c$ .

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