Answer :

o evaluate the expression

6

2

6⋅2x for the given values of

x:Answer:

Step-by-step explanation:

(a) For

=

2

x=−2:

6

2

=

6

2

(

2

)

6⋅2x=6⋅2(−2)

Calculate inside the parentheses first:

6

2

(

2

)

=

6

(

4

)

6⋅2(−2)=6⋅(−4)

Now, perform the multiplication:

6

(

4

)

=

24

6⋅(−4)=−24

So,

6

2

6⋅2x when

=

2

x=−2 is

24

−24

.

(b) For

=

3

x=3:

6

2

=

6

2

(

3

)

6⋅2x=6⋅2(3)

Calculate inside the parentheses first:

6

2

(

3

)

=

6

6

6⋅2(3)=6⋅6

Now, perform the multiplication:

6

6

=

36

6⋅6=36

So,

6

2

6⋅2x when

=

3

x=3 is

36

36

.

Therefore, the evaluated expressions are

24

−24

 when

=

2

x=−2 and

36

36

 when

=

3

x=3.