Explanation:
To simplify the given expression:
2[3(4^2+1)]-2^3
First, we evaluate the exponent:
4^2 = 4 * 4 = 16
Now we can substitute this value back into the original expression:
2[3(16+1)]-2^3
Next, we perform the addition inside the parentheses:
16 + 1 = 17
Substituting this back into the expression:
2[3(17)]-2^3
Then, we perform the multiplication inside the square brackets:
3 * 17 = 51
Substituting this back into the expression:
2[51]-2^3
Next, we perform the exponent:
2^3 = 2 * 2 * 2 = 8
Substituting this back into the expression:
2[51]-8
Finally, we perform the remaining multiplication:
2 * 51 = 102
Substituting this back into the expression:
102 - 8
Now we can perform the subtraction:
102 - 8 = 94
So, the simplified form of the given expression is 94.