Answer:
To solve the expression 3(²1)³÷2, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Simplify the expression inside the parentheses:
²1 = 1² = 1
Step 2: Cube the result from Step 1:
1³ = 1
Step 3: Multiply the result from Step 2 by 3:
3 × 1 = 3
Step 4: Divide the result from Step 3 by 2:
3 ÷ 2 = 1.5
So, the value of the expression 3(2/1)³÷2 is 1.5.
For the expression (³(+)³)³, we can simplify it step by step as well.
Step 1: Simplify the expression inside the parentheses:
³(+)³ = 3 + 3 = 6
Step 2: Cube the result from Step 1:
6³ = 6 × 6 × 6 = 216
Therefore, the value of the expression (³(+)³)³ is 216.