Answer:
2 to the power of 12
Step-by-step explanation:
To find the product
2
2
×
4
2
×
8
2
2
2
×4
2
×8
2
in exponential form, we first express each number with the same base.
Express 4 and 8 as powers of 2:
4
=
2
2
4=2
2
8
=
2
3
8=2
3
Substitute these values back into the expression:
4
2
=
(
2
2
)
2
=
2
2
×
2
=
2
4
4
2
=(2
2
)
2
=2
2×2
=2
4
8
2
=
(
2
3
)
2
=
2
3
×
2
=
2
6
8
2
=(2
3
)
2
=2
3×2
=2
6
So the original expression becomes:
2
2
×
2
4
×
2
6
2
2
×2
4
×2
6
Combine the exponents by using the property of exponents
×
=
+
a
m
×a
n
=a
m+n
:
2
2
×
2
4
×
2
6
=
2
2
+
4
+
6
=
2
12
2
2
×2
4
×2
6
=2
2+4+6
=2
12
Thus, the product in its exponential form is:
2
12
2
12