Question

Which expression is equivalent to
15a8b4/5a4b?

Answer 1

`3a^4b^3`

Explanation:

`(15a^8b^4)/(5a^4b)\\\mathrm{Divide\:the\:numbers:}\:(15)/(5)=3\\=(3a^8b^4)/(a^4b)\\\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)\\(a^8)/(a^4)=a^(8-4)\\=(3b^4a^(8-4))/(b)\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=(3a^4b^4)/(b)\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3`