(3/2b^4) ^3

Answer 1

To simplify the expression (3/2b^4)^3, we need to cube the numerator and denominator separately.

Cubing the numerator:
(3/2)^3 = (3^3)/(2^3) = 27/8

Cubing the denominator:
(b^4)^3 = b^(4*3) = b^12

Therefore, (3/2b^4)^3 simplifies to (27/8) / b^12, or 27/(8b^12).