Write `2xx3 xx x xx x xx x xx yxx y xx y xx y` in exponential from

Options

A. `6x^(2)y^(4)`
B. `6x^(2)y^(3)`
C. `6x^(1)y^(4)`
D. `6x^(1)y^(2 )`

Answer

To write the expression `2 xx 3 xx x xx x xx y xx y xx y xx y` in exponential form, we can follow these steps:

### Step 1: Identify the constants and variables
The expression consists of the constant numbers `2` and `3`, and the variables `x` and `y`.

### Step 2: Count the occurrences of each variable
- The variable `x` appears 3 times: `x xx x xx x`
- The variable `y` appears 4 times: `y xx y xx y xx y`

### Step 3: Rewrite the variables in exponential form
Using the property of exponents, we can express repeated multiplication of the same variable as an exponent:
- For `x`, since it appears 3 times, we can write it as \( x^3 \).
- For `y`, since it appears 4 times, we can write it as \( y^4 \).

### Step 4: Multiply the constants
Now, we multiply the constants `2` and `3`:
- \( 2 \times 3 = 6 \)

### Step 5: Combine everything into exponential form
Putting it all together, we can express the entire expression in exponential form as:
\[ 6 \cdot x^3 \cdot y^4 \]

### Final Answer
The expression `2 xx 3 xx x xx x xx y xx y xx y xx y` in exponential form is:
\[ 6x^3y^4 \]

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