Let's solve the expression step by step:
1. Understand the expression:
The expression is given in the format [tex]\(8_2 = 32\)[/tex].
2. Identify the components:
Here, "8" represents the base and "2" represents the exponent.
3. Apply the exponent:
Exponential notation [tex]\(8_2\)[/tex] can be interpreted as [tex]\(8^2\)[/tex], which means we need to multiply 8 by itself.
4. Perform the multiplication:
[tex]\(8^2 = 8 \times 8\)[/tex].
5. Calculate the result:
[tex]\(8 \times 8 = 64\)[/tex].
Hence, the expression [tex]\(8_2\)[/tex] evaluates to 64, not 32.
So, the correct calculation for [tex]\(8_2\)[/tex] should give us 64.
