Answer:
[tex]\large\boxed{10t}[/tex]
Step-by-step explanation:
[tex]Use:\\\\(a^n)^m=a^{nm}\\\\(ab)^n=a^nb^n[/tex]
[tex]\Bigg[\bigg(1\underbrace{00,000,000}_{8}t^8\bigg)^{-\frac{1}{2}}\Bigg]^{-\frac{1}{4}}=\bigg(10^8t^8\bigg)^{\left(-\frac{1}{2}\right)\left(-\frac{1}{4}\right)}=\bigg(10t\bigg)^{8\left(\frac{1}{8}\right)}=\bigg(10t\bigg)^1[/tex]
