How do you multiply (2a ^ { - 2} ) ^ { 3} ( a ^ { 4} a ^ { - 5} ) ^ { 6}?

2 Answers
Jul 10, 2018

8/a^(12)

Explanation:

We have (2a^(-2))^3(a^4*a^(-5))^6
Note that a^4*a^(-5)=a^(-1)
and (ab)^n=a^n*b^n so we get

2^3*a^(-6)*a^(-6)=8*a^(-12)=8/a^12

8/a^12

Explanation:

Given tha

(2a^{-2})^3(a^4a^{-5})^6

=2^3a^{-2\cdot 3}(a^{-5+4})^6

=8a^{-6}(a^{-1})^6

=8a^{-6}\cdot a^{-6}

=8a^{-6-6}

=8a^{-12}

=8/a^12