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

Question

1595 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-18T08:00:09

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

$(-16a^5b^3)/(-24a^5b^7)$

$= ((-cancel16)/-cancel24) . (cancel(a^5/a^5)) . (b^3/b^7)$

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

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

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