Question

simplify. express your ans
$\frac{7u cdot 9u}{7u^{3}}$

Explanation:

Step1: Multiply coefficients and variables

$\frac{7 \cdot 9 \cdot u \cdot u}{7u^3} = \frac{63u^2}{7u^3}$

Step2: Simplify coefficient fraction

$\frac{63}{7} \cdot \frac{u^2}{u^3} = 9 \cdot \frac{u^2}{u^3}$

Step3: Apply exponent rule $\frac{u^a}{u^b}=u^{a-b}$

$9 \cdot u^{2-3} = 9u^{-1} = \frac{9}{u}$

Answer:

$\frac{9}{u}$