Devic Mathematics are as follows :
`+rarr" multiplication"`
`- rarr" division"`
`xx rarr" addition"`
`// rarr" subtraction"`
`^^ rarr" power (or index) for exponential expression."`
But Devic (Mathematics must follow the same conventional BODMAS rule of mathematics. Solve the following questions in Devic Mathematics.
The value of the following expression in Devic mathematic is `a+a+a-a+a+a//a+a-a`:

Options

A. 1
B. 0
C. `1-a`
D. `(1)/(a)`

Answer

To solve the expression `a + a + a - a + a + a // a + a - a` using Devic Mathematics, we will first translate the symbols according to the rules provided:

1. **Translation of Symbols:**
- `+` (plus) translates to multiplication (×)
- `-` (minus) translates to division (÷)
- `xx` (multiplication) translates to addition (+)
- `//` (slash) translates to subtraction (−)
- `^^` (power) remains as power (exponential)

2. **Rewriting the Expression:**
The original expression `a + a + a - a + a + a // a + a - a` translates to:
- `a × a × a ÷ a × a × a − a + a − a`

3. **Applying BODMAS:**
According to BODMAS, we will perform operations in the following order:
- Brackets
- Orders (powers and roots, etc.)
- Division and Multiplication (from left to right)
- Addition and Subtraction (from left to right)

4. **Performing the Operations:**
- Start with the multiplication and division:
- `a × a × a ÷ a` can be simplified:
- First, calculate `a × a × a = a^3`
- Then divide by `a`: `a^3 ÷ a = a^2`
- Now the expression looks like: `a^2 × a × a − a + a − a`
- Next, perform the multiplication:
- `a^2 × a = a^3`
- Now the expression is: `a^3 − a + a − a`
- Now simplify the addition and subtraction:
- `a^3 − a + a − a` simplifies to `a^3 − a`

5. **Final Result:**
The final simplified result of the expression is:
- `a^3 − a`