Respuesta :

Answer:

option C)

3^(5)

Step-by-step explanation:

given in the question  an expression

 3² x 3³

We will use the exponent "product rule" which tells us that, when multiplying two powers that have the same base, you can add the exponents.

Here

the base = 3

the exponent are = 2 and 3

Simplification

3^(2+3)

3^(5)

[tex]\bold{Hey\ there!} \\ \\ \bold{3^2=3\times3\rightarrow9 \ \ & \ \bold{3^3=3\times3\times3\rightarrow27}} \\ \\ \\ \bold{9\times27=243} \\ \\ \\ \bold{Options\downarrow} \\ \\ \\ \bold{3^8=6,561(not\ your\  answer)} \\ \\ \\ \bold{3=3(not\ your\ answer)} \\ \\ \bold{3^5=243(answer)} \\ \\ \bold{3^6=729(not\ your\ answer)}[/tex]

[tex]\bold{Your\ front\ number(s)\ (3) \ stays\ the\ same\  \& \ 2+3=5}[/tex]

[tex]\boxed{\boxed{\bold{Thus,\ your\ answer\ is:\ Option\ C. 3^5}}}\checkmark \\ \\ \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]