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

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.
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Solution

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Solution Steps

Step 1: Multiply the coefficients

First, multiply the coefficients 2.32.3 and 4.04.0: 2.3×4.0=9.2 2.3 \times 4.0 = 9.2

Step 2: Multiply the powers of 10

Next, multiply the powers of 1010: 101×103=101+3=104 10^{1} \times 10^{3} = 10^{1+3} = 10^{4}

Step 3: Combine the results

Combine the results from Step 1 and Step 2: 9.2×104 9.2 \times 10^{4}

Final Answer

The result in scientific notation is: 9.2×104 \boxed{9.2 \times 10^{4}}

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