To find the value of the expression [tex]\((5 \cdot 7)-[(8 \cdot 4)-7]\)[/tex], follow these steps:
1. Calculate the value inside the first parentheses:
[tex]\[
5 \cdot 7 = 35
\][/tex]
2. Calculate the value inside the square brackets:
[tex]\[
(8 \cdot 4) - 7
\][/tex]
- First, calculate the product:
[tex]\[
8 \cdot 4 = 32
\][/tex]
- Then, subtract 7 from the result:
[tex]\[
32 - 7 = 25
\][/tex]
3. Subtract the value inside the square brackets from the value inside the first parentheses:
[tex]\[
35 - 25 = 10
\][/tex]
So, the value of the expression [tex]\((5 \cdot 7)-[(8 \cdot 4)-7]\)[/tex] is
[tex]\[
10
\][/tex]