Answer
No, the expression is not true.
Work Step by Step
(-3b$)^{4}$ $\ne$ -12$b^{4}$.The expression is not true because (-3b$)^{4}$=(-3b) $\times$ (-3b) $\times$ (-3b) $\times$ (-3b) equals 81$b^{4}$.It can also be calculated using (ab$)^{4}$=$a^{4}$$b^{4}$.The expression would be (-3$)^{4}$ $b^{4}$
