How do you simplify (81a^8 b^4)^(1/4)?

1 Answer
Jun 20, 2015

(81a^8b^4)^(1/4) = 3a^2abs(b)

Explanation:

(81a^8b^4)^(1/4)

=(3^4(a^2)^4b^4)^(1/4)

=(3^4(a^2)^4abs(b)^4)^(1/4)

=((3a^2abs(b))^4)^(1/4)

Now 3a^2abs(b) >= 0, so

=(3a^2abs(b))^(4 * 1/4)

=(3a^2abs(b))^1

=3a^2abs(b)