Question

simplify. express your answer using positive exponents.
$\frac{7u^{9}v^{9}w^{4}}{7u^{6}v^{6}w^{4}}$

Explanation:

Step1: Divide the coefficients

$\frac{7}{7}=1$

Step2: Use exponent - division rule for $u$

$\frac{u^{9}}{u^{6}}=u^{9 - 6}=u^{3}$ (since $\frac{a^{m}}{a^{n}}=a^{m - n}$)

Step3: Use exponent - division rule for $v$

$\frac{v^{9}}{v^{6}}=v^{9 - 6}=v^{3}$

Step4: Use exponent - division rule for $w$

$\frac{w^{4}}{w^{4}}=w^{4 - 4}=w^{0}=1$ (any non - zero number to the power of 0 is 1)

Answer:

$u^{3}v^{3}$