Answer:
(a)9
(b)No, 9 is not equal to 3.
Explanation:
Part A
Given the expression:
[tex]\frac{3^5}{3^3}[/tex]We can write it in an alternate form as:
[tex]\begin{gathered} =\frac{3^3\times3^2}{3^3} \\ =3^2 \\ =9 \end{gathered}[/tex]The value of the expression is 9.
Part B
Given the expression:
[tex]\frac{3\times3\times3\times3}{3\times3\times3}[/tex]This is simplified below:
[tex]\begin{gathered} =\frac{\cancel{3}\times\cancel{3}\times\cancel{3}\times3}{\cancel{3}\times\cancel{3}\times\cancel{3}} \\ =3 \end{gathered}[/tex]The value of this expression is NOT EQUIVALENT to the expression in Part A since 9 is not equal to 3.
