Question

What is the simplified expression for4 to the -3 power * 3 to the 4th power * 4 to the 2nd power divided by 3 to the 5th power * 4 to the -2 power

Answer 1

$\begin{gathered} \frac{4^{-3}\times3^4\times4^2}{3^5\times4^{-2}} \\ \frac{4^{-3}\times4^2\times3^4}{3^5\times4^{-2}} \\ \frac{4^{-1}\times3^4}{3^5\times4^{-2}} \\ 4^{-1-(-2)}\times3^{4-5} \\ 4^1\times3^{-1} \\ \frac{4}{3} \end{gathered}$

B. 4/3