Question

Help me please fast fast fast

Answer 1

4

Explanation:

`((1)/(2))^2*(3*5-3)+1^3`

This is an order of operations problem. II'll use using PEMDAS here:

1. P: Evaluate expressions in parenthesis first
2. E: Evaluate terms with exponents
3. MD: Evaluate multiplication and division from left to right
4. 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:

`3*5-3`

There are no parenthesis and there are no exponents, so do the multiplication first.

`\rightarrow 3*5-3\\\rightarrow 15-3\\\rightarrow 12`

Back to the original expression and we now have:

`((1)/(2))^2*(12)+1^3`

Exponents comes next:

`\rightarrow ((1)/(2))^2=(1^2)/(2^2)=(1)/(4)\\\\\rightarrow 1^3=1`

Now we have:

`(1)/(4)*12+1`

Multiplication comes next:

`\rightarrow (1)/(4)*12=(1)/(4)*(12)/(1)=(12)/(4)=3\\\\3+1`

Finally, addition.

`3+1=4`