Sure, let's solve the given expression step-by-step:
[tex]\(= 2 \cdot 2^4 - 2^3\)[/tex]
1. Calculate [tex]\(2^4\)[/tex]:
[tex]\[2^4 = 2 \times 2 \times 2 \times 2 = 16\][/tex]
2. Calculate [tex]\(2^3\)[/tex]:
[tex]\[2^3 = 2 \times 2 \times 2 = 8\][/tex]
3. Multiply the result of [tex]\(2^4\)[/tex] by 2:
[tex]\[2 \cdot 2^4 = 2 \cdot 16 = 32\][/tex]
4. Subtract the result of [tex]\(2^3\)[/tex] from the previous multiplication:
[tex]\[32 - 2^3 = 32 - 8 = 24\][/tex]
So the final result is:
[tex]\[2 \cdot 2^4 - 2^3 = \boxed{24}\][/tex]
