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Simplify. Express your answer using positive exponents. $\newline$ $\frac{10s}{(10s^2)(s)}$

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Multiply and divide powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{10s}{(10s^2)(s)}

Identify Given Expression: Write down the given expression and identify the common factors in the numerator and the denominator. $\newline$ The given expression is $\frac{10s}{(10s^2)(s)}$ . We can see that $s$ is common in both the numerator and the denominator.
Cancel Common Factors: Simplify the expression by canceling out the common factors. $\newline$ The $s$ in the numerator can be canceled with one $s$ from the $s^2$ in the denominator. Also, the $10$ in the numerator and denominator can be canceled out. $\newline$ $\frac{10s}{10s^2}(s) = \left(\frac{10}{10}\right) * \left(\frac{s}{s^2}\right) * \left(\frac{1}{s}\right)$ $\newline$ $= 1 * \left(\frac{1}{s}\right) * \left(\frac{1}{s}\right)$ $\newline$ $= \frac{1}{s^2}$
Write Final Simplified Expression: Write the final simplified expression using positive exponents. $\newline$ The expression $\frac{1}{s^2}$ already has a positive exponent, so this is the final simplified form.

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