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.
`(5^^5)xx(4^^4)//(3^^3)xx(2^^2)//(1^^1)` is equal to

Options

A. 2987
B. 4013
C. 3357
D. none of these

Answer

To solve the expression `(5^^5)xx(4^^4)//(3^^3)xx(2^^2)//(1^^1)` using Devic Mathematics, we will follow the BODMAS rule, where:

- `^^` represents power (exponential)
- `xx` represents addition
- `//` represents subtraction
- `-` represents division
- `+` represents multiplication

Let's break down the expression step by step:

### Step 1: Rewrite the Expression
First, we rewrite the expression using conventional mathematical symbols:
- `(5^^5)` becomes \(5^5\)
- `(4^^4)` becomes \(4^4\)
- `(3^^3)` becomes \(3^3\)
- `(2^^2)` becomes \(2^2\)
- `(1^^1)` becomes \(1^1\)

So, the expression becomes:
\[ (5^5) + (4^4) - (3^3) + (2^2) - (1^1) \]

### Step 2: Calculate the Exponential Values
Now, we calculate the powers:
- \(5^5 = 3125\)
- \(4^4 = 256\)
- \(3^3 = 27\)
- \(2^2 = 4\)
- \(1^1 = 1\)

### Step 3: Substitute the Values Back into the Expression
Substituting these values back into the expression gives us:
\[ 3125 + 256 - 27 + 4 - 1 \]

### Step 4: Perform the Addition and Subtraction
Now, we will perform the operations from left to right:
1. First, add \(3125 + 256\):
\[ 3125 + 256 = 3381 \]
2. Next, subtract \(27\):
\[ 3381 - 27 = 3354 \]
3. Then, add \(4\):
\[ 3354 + 4 = 3358 \]
4. Finally, subtract \(1\):
\[ 3358 - 1 = 3357 \]

### Final Result
Thus, the value of the expression `(5^^5)xx(4^^4)//(3^^3)xx(2^^2)//(1^^1)` is:
\[ \boxed{3357} \]