Questions: Calculate: (2.3 × 10^1)(4.0 × 10^3) Write your answer in scientific notation.

Transcript text: Calculate: \[ \left(2.3 \times 10^{1}\right)\left(4.0 \times 10^{3}\right) \] Write your answer in scientific notation.

Solution

Step 1: Multiply the coefficients

First, multiply the coefficients \(2.3\) and \(4.0\): \[ 2.3 \times 4.0 = 9.2 \]

Step 2: Multiply the powers of 10

Next, multiply the powers of \(10\): \[ 10^{1} \times 10^{3} = 10^{1+3} = 10^{4} \]

Step 3: Combine the results

Combine the results from Step 1 and Step 2: \[ 9.2 \times 10^{4} \]

The result in scientific notation is: \[ \boxed{9.2 \times 10^{4}} \]

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