Final answer:
The first step in evaluating the expression (5 8÷4×3)2−7 is to perform any division and multiplication operations from left to right. We simplify the division, then perform the multiplication, and finally evaluate the exponent. The final step is subtracting the given value from the previous result.
Step-by-step explanation:
The first step in evaluating the expression (5 8÷4×3)2−7 is to perform any division and multiplication operations from left to right. In this case, the division operation comes first. We can simplify 8÷4 to get 2. So, the expression becomes (5 2×3)2−7.
Next, we perform the multiplication operation, which is 2×3. This gives us 6. So, the expression further simplifies to (5 6)2−7.
Finally, we evaluate the exponent, which is (5 6)2. This means we raise 5 6 to the power of 2, resulting in 5 6 squared, or 30. The expression now becomes 30−7.
The last step is to subtract 7 from 30, which gives us a final answer of 23.