How do you simplify ((4a^7b^4)/(8b^2))^3?

1 Answer
Jun 5, 2018

=(a^21b^6)/8

Explanation:

As per the question, we have

((4a^7b^4)/(8b^2))^3

=((cancel4a^7b^4)/(cancel8 2b^2))^3

=((a^7cancelb^2xxb^2)/(2cancelb^2))^3

=((a^7b^2)/(2))^3

Now cubing these terms, we get

(a^(7xx3)xxb^(2xx3))/2^3

= (a^21b^6)/8

Hence, the answer.