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

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Multiply powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{2u}{2u^3}

Identify Common Terms: Write down the expression and identify the common terms in the numerator and the denominator. $\newline$ The expression is $\frac{2u}{2u^3}$ . Both the numerator and the denominator have the common term $2u$ .
Cancel Common Terms: Simplify the expression by canceling out the common terms. The $2$ in the numerator and the $2$ in the denominator cancel each other out, as do the $u$ in the numerator and one of the $u$ 's in the denominator. This leaves us with $1/u^2$ .
Check Remaining Simplifications: Check for any remaining simplifications. There are no more common terms to cancel out, and the expression is already using positive exponents.
Write Final Expression: Write the final simplified expression. $\newline$ The simplified expression is $\frac{1}{u^2}.$

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