Sure, let's work through each question step by step.
### For the first expression:
[tex]\[ 4 \times 5 - \left(2^2 - 2\right) \][/tex]
1. Start by calculating the exponent:
[tex]\[ 2^2 = 4 \][/tex]
2. Then, perform the subtraction inside the parentheses:
[tex]\[ 4 - 2 = 2 \][/tex]
3. Next, multiply:
[tex]\[ 4 \times 5 = 20 \][/tex]
4. Finally, subtract:
[tex]\[ 20 - 2 = 18 \][/tex]
So, the value for the first expression is:
[tex]\[ 18 \][/tex]
### For the second expression:
[tex]\[ (18 \div 3) + \left(3^2 - 7\right) \][/tex]
1. Begin by performing the division:
[tex]\[ 18 \div 3 = 6 \][/tex]
2. Calculate the exponent:
[tex]\[ 3^2 = 9 \][/tex]
3. Then, perform the subtraction inside the parentheses:
[tex]\[ 9 - 7 = 2 \][/tex]
4. Finally, add the results:
[tex]\[ 6 + 2 = 8 \][/tex]
Therefore, the value for the second expression is:
[tex]\[ 8 \][/tex]
Completed answers in the boxes are:
[tex]\[
4 \times 5-\left(2^2-2\right)= 18
\][/tex]
[tex]\[
(18 \div 3)+\left(3^2-7\right)= 8
\][/tex]
