How do you simplify #\frac { 2a ^ { 2} ( a ^ { - 3} ) ^ { 6} } { ( a ^ { - 1} ) ^ { - 2} }#?

1 Answer
Jul 3, 2017

Use rules

Explanation:

When you have the same base number, on multiplication the power just gets added.

Use the same rule you use for evaluating an expression. Brackets, Multiplication and finally addition.

#(2a^2(a^-3)^6)/(a^(-1))^(-2)=(2a^2a^(-18))/a^(-2)#
#= 2a^(2-18-(-2))#
#=2a^-14#