Question

Hi - I am doing the exponent rules escape room and the question is the "exponential express" (4^(0)*4^(3)*4^(2))/(3^(-3)) = 27648 but only 4 options are open to put in the "code"...

Answer 1

Notice the following:

$\begin{gathered} 3^4=81, \\ 4^2=16, \\ 9^3=729, \\ 13^0=1, \\ 7^{-1}=\frac{1}{7}. \end{gathered}$

Therefore:

Finally, substituting the values in the given expression we get:

$\frac{4^04^34^2}{3^{-1}}=3072.$

Answer: 3072.