Chapter 1.2, Problem 12E

To determine

To describe: To describe and correct the error in $2^3=3\cdot 3$ .

Answer to Problem 12E

The correct expression is $2^3=2\cdot 2\cdot 2$

Explanation of Solution

Given information: Consider the expression provided in the question:

  $2^3$ .

Calculation: Consider the base 2 provided in the expression.

The base 2 is raised to the power 3.

$2\cdot 2=2^2$ and $2\cdot 2\cdot 2=2^3$ .

Hence,

  $2^3=2\cdot 2\cdot 2$ .

The expression $2^3=3\cdot 3$ is incorrect as the base is 2 and not the 3. Whereas the power is 3 and not 2.