# How do you express x^2 y^3 t^-4 z^-6 w with positive exponents?

Aug 15, 2016

$\frac{{x}^{2} {y}^{3} w}{{t}^{4} {z}^{6}}$

#### Explanation:

Using the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}^{-} m = \frac{1}{a} ^ m} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

We can now write the expression as

${x}^{2} / 1 \times {y}^{3} / 1 \times \frac{1}{t} ^ 4 \times \frac{1}{z} ^ 6 \times \frac{w}{1}$

$= \frac{{x}^{2} \times {y}^{3} \times 1 \times 1 \times w}{1 \times 1 \times {t}^{4} \times {z}^{6} \times 1} = \frac{{x}^{2} {y}^{3} w}{{t}^{4} {z}^{6}}$