Chapter SH, Problem 9.11E

To determine

Find the standard form of the given expression.

Answer to Problem 9.11E

The standard form of the given expression is $3267$ .

Explanation of Solution

Given:

The given expression is ${11}^2\cdot 3^3$ .

Calculation:

Rewrite the given expression.

  $\begin{array}{l}{11}^2\cdot 3^3\\ =11\cdot 11\cdot 3\cdot 3\cdot 3\end{array}$

Use PEDMAS rule (multiply and divide from left to right).

  $\begin{array}{l}=121\cdot 3\cdot 3\cdot 3\\ =363\cdot 3\cdot 3\\ =1089\cdot 3\\ =3267\end{array}$

Hence the standard form of the given expression is $3267$ .