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Simplify. Express your answer using positive exponents. $\newline$ $\frac{5p^2}{5p^3}$

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Multiply powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{5p^2}{5p^3}

Divide Coefficients and Subtract Exponents: Simplify the expression by dividing the coefficients and subtracting the exponents of like bases. $\newline$ $\frac{5p^2}{5p^3} = \frac{5}{5} \cdot \frac{p^2}{p^3}$
Divide Coefficients: Divide the coefficients. Since $5$ divided by $5$ is $1$ , this part of the expression simplifies to $1$ . $\newline$ $\frac{5}{5} = 1$
Subtract Exponents of $p$ : Subtract the exponents of $p$ . When dividing powers with the same base, we subtract the exponents. $\frac{p^2}{p^3} = p^{(2-3)} = p^{-1}$
Rewrite Negative Exponent: Since the expression is supposed to be expressed with positive exponents, we rewrite $p^{-1}$ as $\frac{1}{p}$ . $\newline$ $p^{-1} = \frac{1}{p}$
Combine Results: Combine the results from Step $2$ and Step $4$ to write the final simplified expression. $\newline$ $1 \times \left(\frac{1}{p}\right) = \frac{1}{p}$

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