# How do you simplify (-16a^5b^3)/(-24a^5b^7)?

Jun 18, 2015

 = color(blue)(2/3b^(-4)

#### Explanation:

$\frac{- 16 {a}^{5} {b}^{3}}{- 24 {a}^{5} {b}^{7}}$

$= \left(\frac{- \cancel{16}}{-} \cancel{24}\right) . \left(\cancel{{a}^{5} / {a}^{5}}\right) . \left({b}^{3} / {b}^{7}\right)$

 = (2/3) . color(blue)(b^3/b^7
Note:
 color(blue)(a^m/a^n= a^(m-n)

Applying the above to the exponents of $b$
 = (2/3) color(blue)(b^(3-7)
 = 2/3 color(blue)(b^(-4)