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

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Multiply powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{5t^5}{5t^3}

Simplify Coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $5$ by $5$ . $\newline$ $\frac{5}{5} = 1$
Simplify Variables: Simplify the variables with exponents. $\newline$ When we divide powers with the same base, we subtract the exponents. $\newline$ $t^5 / t^3 = t^{(5-3)} = t^2$
Combine Results: Combine the results from Step $1$ and Step $2$ . $\newline$ Since $\frac{5}{5}$ is $1$ , and $\frac{t^5}{t^3}$ is $t^2$ , the expression simplifies to: $\newline$ $1 \times t^2 = t^2$

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