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)=(1)/(7). \end{gathered}`

Therefore:

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

`(4^04^34^2)/(3^(-1))=3072.`

Answer: 3072.