What is the value of b in the equation?
[tex] \left(y^b\right)^4=\dfrac{1}{y^{24}}\\\\y^{b\cdot4}=y^{-24}\\\\y^{4b}=y^{-24}\to4b=-
24\ \ \ \ |:4\\\\\boxed{b=-6}\\\\\text{Used:}\\\\(a^n)^m=a^{n\cdot m}\\\\a^{-n}=\dfrac{1}{a^n} [/tex]