Chapter 13.2, Problem 12AR

To determine

To simplify $4^2\cdot 3^3\cdot 2^{-3}$.

Answer to Problem 12AR

The required solution is $4^2\cdot 3^3\cdot 2^{-3}=54$ .

Explanation of Solution

Given information: The number is $4^2\cdot 3^3\cdot 2^{-3}$ .

Calculation: The required solution is obtained as,

When there is a negative exponent, just put the whole thing under 1 and get rid of the negative.

  $\begin{array}{l}{4}^2\cdot 3^3\cdot 2^{-3}\\ =16\cdot 27\cdot \frac{1}{8}\\ =27\cdot 2\\ =54\end{array}$

Hence, the required solution is $4^2\cdot 3^3\cdot 2^{-3}=54$ .