Simplify the Expression $\left(\frac{b^{-8 / 5}}{t^{-8 / 7}}\right)^{4}\left(b^{-1 / 8} t^{1 / 7}\right)^{-2}$

Multiple Choice

Simplify the expression. Write answer with positive exponents. Variables are positive real numbers.
- $\left(\frac{b^{-8 / 5}}{t^{-8 / 7}}\right) ^{4}\left(b^{-1 / 8} t^{1 / 7}\right) ^{-2}$

A) $\frac{b^{133 / 20}}{t^{34 / 7}}$
B) $\frac{b^{123 / 20}}{t^{30 / 7}}$
C) $\frac{t^{34 / 7}}{b^{133 / 20}}$
D) $\frac{t^{30 / 7}}{b^{123 / 20}}$