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Simplify. Assume all variables are positive. $\newline$ $\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}$ $\newline$ $\newline$ Write your answer in the form $A$ or $\frac{A}{B}$ , where $A$ and $B$ are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. $\newline$ ______ $\newline$

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Q. Simplify. Assume all variables are positive.

\newline

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

\newline

\newline

Write your answer in the form

A

or

\frac{A}{B}

, where

A

and

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

______

\newline

Simplify using properties of exponents: Simplify the expression using the properties of exponents. $\newline$ $\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}} = w^{\frac{3}{2} - \frac{5}{2}}$ $\newline$ = $w^{-\frac{2}{2}}$ $\newline$ = $w^{-1}$
Convert negative exponent: Convert the negative exponent to a positive exponent in the denominator. $w^{-1} = \frac{1}{w}$

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