How do you simplify #a^5/(b^3c^3) div a^4/(b^3c^4)#?

1 Answer
Jul 27, 2015

Answer:

You cancel terms common to the numerator and denominator.

Explanation:

Your expression can be written as

#(a^5)/(b^3c^3) * (b^3c^4)/a^4#

Use the product of powers property of exponents to rewrite the numerators of the two fractions as

#a^5 = a^4 * a#

#b^3 c^4 = b^3c^3 * c#

Your expression will become

#(a^4 * a)/(b^3c^3) * (b^3c^3 * c)/a^4#

Cancel the terms common to the numerator and denominator to get

#(color(red)(cancel(color(black)(a^4))) * a)/(color(blue)(cancel(color(black)(b^3c^3)))) * (color(blue)(cancel(color(black)(b^3c^3))) * c)/(color(red)(cancel(color(black)(a^4)))) = color(green)(ac)#