Answer:
-6
Explanation:
The statement of the question can be represented by the equation:
[tex]y^{b(4)}=\frac{1}{y^{24}}[/tex]
From the law of indices: [tex]y^{b(4)}=y^{b*4}=y^{4b},Also\frac{1}{y^{24}}=y^{-24}[/tex]
Therefore applying this law, we get:
[tex]y^{4b}=y^{-24}[/tex]
An expression in the form: [tex]a^{h(c)}=a^{g(c)}[/tex] can be given as h(c) = g(c)
Therefore:
[tex]y^{4b}=y^{-24}\\4b = -24\\b = -24/4=-6\\b=-6[/tex]
