Sure, let's solve the expression step-by-step.
1) Expression: [tex]\(-7 + \left( -2^3 \div 4 \right) - 3\)[/tex]
Step 1: First, handle the exponentiation.
[tex]\[ -2^3 = (-2) \times (-2) \times (-2) = -8 \][/tex]
So, [tex]\(-2^3 = -8\)[/tex].
Step 2: Next, divide by 4.
[tex]\[ -8 \div 4 = -2.0 \][/tex]
So, [tex]\(\left(-2^3 \div 4\right) = -2.0\)[/tex].
Step 3: Now, substitute this result back into the expression and perform the remaining operations.
[tex]\[ -7 + (-2.0) - 3 \][/tex]
Step 4: Perform the addition and subtraction step-by-step.
[tex]\[ -7 + (-2.0) = -7 - 2.0 = -9.0 \][/tex]
[tex]\[ -9.0 - 3 = -12.0 \][/tex]
Therefore, the final result of the expression [tex]\(-7 + \left( -2^3 \div 4 \right) - 3\)[/tex] is [tex]\(-12.0\)[/tex].
