Sure, let's break down the expression step by step to find the final result.
The given expression is:
[tex]\[ |-6| + 60 \div 60 \cdot 2^2 \][/tex]
1. Absolute Value:
[tex]\[ |-6| \][/tex]
The absolute value of [tex]\(-6\)[/tex] is 6.
So,
[tex]\[ |-6| = 6 \][/tex]
2. Division:
[tex]\[ 60 \div 60 \][/tex]
Dividing 60 by 60 results in 1.
Thus,
[tex]\[ 60 \div 60 = 1 \][/tex]
3. Exponentiation:
[tex]\[ 2^2 \][/tex]
Calculating [tex]\(2\)[/tex] raised to the power of [tex]\(2\)[/tex] gives us 4.
Therefore,
[tex]\[ 2^2 = 4 \][/tex]
4. Multiplication:
Next, we multiply the results of steps 2 and 3:
[tex]\[ 1 \cdot 4 \][/tex]
This results in 4.
So,
[tex]\[ 1 \cdot 4 = 4 \][/tex]
5. Addition:
Finally, we add the results of steps 1 and 4:
[tex]\[ 6 + 4 \][/tex]
This gives us 10.
Therefore,
[tex]\[ 6 + 4 = 10 \][/tex]
So, the final result of the expression [tex]\(|-6| + 60 \div 60 \cdot 2^2\)[/tex] is 10.
Answer: 10
