What is the value of b in the equation.....

Answer:
6
Step-by-step explanation:
You could look at this like an algebraic equation but I think it's better to think about it conceptually.
We know that when an exponent is raised to another exponent, you simply multiply them together.
ex:
[tex](5^3)^2 = 5^6[/tex]
We also know that a negative exponent inverts the term like so:
[tex]8^{-3} = \frac{1}{8^3}[/tex]
Thus we can deduce that in order to receive an exponent of 24 with the term on the bottom, we must multiply the -4 by 6 in order to get a -24 that inverts the term.