Question

Consider this expression.3 x 3 x 3 x 33 x 3 x 3Is the value of this expression equivalent to the value of the expression inPart A? Explain your reasoning.

Answer 1

(a)9

(b)No, 9 is not equal to 3.

Step-by-step explanation:

Part A

Given the expression:

`(3^5)/(3^3)`

We can write it in an alternate form as:

`\begin{gathered} =(3^3*3^2)/(3^3) \\ =3^2 \\ =9 \end{gathered}`

The value of the expression is 9.

Part B

Given the expression:

`(3*3*3*3)/(3*3*3)`

This is simplified below:

`\begin{gathered} =\frac{\cancel{3}*\cancel{3}*\cancel{3}*3}{\cancel{3}*\cancel{3}*\cancel{3}} \\ =3 \end{gathered}`

The value of this expression is NOT EQUIVALENT to the expression in Part A since 9 is not equal to 3.