How do you simplify #\frac { d ^ { 8} \cdot d ^ { 3} } { d ^ { - 2} }#?

1 Answer
May 17, 2018

#1/d^-2 = d^2# so #d^8.d^3/d^-2 = d^13#

Explanation:

There are two things to remember.
1. #x^a.x^b = x^(a+b)#
2. #x^-a = 1/x^a#
So in this case, #1/d^-2 = d^2# which means the equation can be written as :
#d^8.d^3*d^2 = d^(8+3+2) = d^13#