Answer:

To solve the expression 100 - 4(7-4)³, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).

First, let's simplify the expression inside the parentheses:

7 - 4 = 3

Next, let's calculate the exponent:

3³ = 3 * 3 * 3 = 27

Now, let's substitute the simplified values back into the original expression:

100 - 4 * 27

Next, let's perform the multiplication:

4 * 27 = 108

Finally, let's subtract the result from 100:

100 - 108 = -8

Therefore, the value of the expression 100 - 4(7-4)³ is -8.