To simplify the expression [tex]$2^3 \times 4^7$[/tex], follow these steps:
1. Evaluate the exponentiation for [tex]$2^3$[/tex]:
[tex]\[
2^3 = 2 \times 2 \times 2 = 8
\][/tex]
2. Evaluate the exponentiation for [tex]$4^7$[/tex]:
[tex]\[
4^7 = 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 16384
\][/tex]
3. Multiply the results from steps 1 and 2:
[tex]\[
2^3 \times 4^7 = 8 \times 16384 = 131072
\][/tex]
Therefore, the simplified result of [tex]$2^3 \times 4^7$[/tex] is:
[tex]\[
131072
\][/tex]
