Let's break down the problem into several clear steps to find the solution to [tex]\( 10 \times (2^{10} - 2^3) \)[/tex].
1. Calculate [tex]\( 2^{10} \)[/tex]:
[tex]\[
2^{10} = 1024
\][/tex]
2. Calculate [tex]\( 2^3 \)[/tex]:
[tex]\[
2^3 = 8
\][/tex]
3. Subtract [tex]\( 2^3 \)[/tex] from [tex]\( 2^{10} \)[/tex]:
[tex]\[
1024 - 8 = 1016
\][/tex]
4. Multiply the result by 10:
[tex]\[
10 \times 1016 = 10160
\][/tex]
Hence, the detailed solution to the problem [tex]\( 10 \times (2^{10} - 2^3) \)[/tex] is:
[tex]\[
10 \times (2^{10} - 2^3) = 10160
\][/tex]