What will come in place of question mark (?) .
`6^(2.3) xx 6^(4.3) xx 6^5.3 = ? `

Options

A. `4^(40.27)`
B. `6^(10.9)`
C. `6^(12.9)`
D. `6^(11.9)`

Answer

To solve the equation \( 6^{2.3} \times 6^{4.3} \times 6^{5.3} = ? \), we will follow these steps:

### Step 1: Identify the base and exponents
The base of all terms is 6, and the exponents are 2.3, 4.3, and 5.3.

### Step 2: Use the property of exponents
When multiplying terms with the same base, we can add the exponents together. Therefore, we can rewrite the expression as:
\[ 6^{2.3} \times 6^{4.3} \times 6^{5.3} = 6^{(2.3 + 4.3 + 5.3)} \]

### Step 3: Calculate the sum of the exponents
Now, we need to add the exponents:
\[ 2.3 + 4.3 + 5.3 \]
Calculating this step-by-step:
1. Add \(2.3\) and \(4.3\):
\[ 2.3 + 4.3 = 6.6 \]
2. Now add \(6.6\) and \(5.3\):
\[ 6.6 + 5.3 = 11.9 \]

### Step 4: Write the final expression
Now we can substitute back into our expression:
\[ 6^{(2.3 + 4.3 + 5.3)} = 6^{11.9} \]

### Conclusion
Thus, the value that will come in place of the question mark is:
\[ 6^{11.9} \]

### Final Answer
The answer is \( 6^{11.9} \).

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