Answer:
4
Step-by-step explanation:
[tex](\frac{1}{2})^2\times(3\times5-3)+1^3[/tex]
This is an order of operations problem. II'll use using PEMDAS here:
- P: Evaluate expressions in parenthesis first
- E: Evaluate terms with exponents
- MD: Evaluate multiplication and division from left to right
- AS: Evaluate addition and subtraction from left to right
Parenthesis first. The first expression in parenthesis is already as simplified as it gets, so up next is the second one:
[tex]3\times5-3[/tex]
There are no parenthesis and there are no exponents, so do the multiplication first.
[tex]\rightarrow 3\times5-3\\\rightarrow 15-3\\\rightarrow 12[/tex]
Back to the original expression and we now have:
[tex](\frac{1}{2})^2\times(12)+1^3[/tex]
Exponents comes next:
[tex]\rightarrow (\frac{1}{2})^2=\frac{1^2}{2^2}=\frac{1}{4}\\\\\rightarrow 1^3=1[/tex]
Now we have:
[tex]\frac{1}{4}\times12+1[/tex]
Multiplication comes next:
[tex]\rightarrow \frac{1}{4}\times12=\frac{1}{4}\times\frac{12}{1}=\frac{12}{4}=3\\\\3+1[/tex]
Finally, addition.
[tex]3+1=4[/tex]
