How do you simplify the expression #(108a^8)/(12a^4b^3)#?

1 Answer
Aug 18, 2017

Answer:

See a solution process below:

Explanation:

First, rewrite the expression as:

#108/12(a^8/a^4)(1/b^3) => 9(a^8/a^4)(1/b^3) => 9/b^3(a^8/a^4)#

We can now use this rule for exponents to simplify the #a# terms:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#9/b^3(a^color(red)(8)/a^color(blue)(4)) => 9/b^3a^(color(red)(8)-color(blue)(4)) => (9a^4)/b^3#