To solve the expression [tex]\(-7+\left(-2^3 \div 4\right)-3\)[/tex], let's break it down step-by-step:
1. Evaluate the exponentiation [tex]\( -2^3 \)[/tex]:
[tex]\[ -2^3 = -2 \times -2 \times -2 \][/tex]
[tex]\[ -2 \times -2 = 4 \][/tex]
[tex]\[ 4 \times -2 = -8 \][/tex]
2. Divide the result by 4:
[tex]\[ \frac{-8}{4} = -2 \][/tex]
3. Add [tex]\(-2\)[/tex] to [tex]\(-7\)[/tex]:
[tex]\[ -7 + (-2) = -9 \][/tex]
4. Subtract 3 from the result:
[tex]\[ -9 - 3 = -12 \][/tex]
So, the final result of the expression [tex]\(-7+\left(-2^3 \div 4\right)-3\)[/tex] is:
[tex]\[ \boxed{-12} \][/tex]
