Questions: Multiply the following and express your answer in appropriate scientific notation: (2.2 × 10^-9) × (2.3 × 10^-21) product =

Multiply the following and express your answer in appropriate scientific notation: (2.2 × 10^-9) × (2.3 × 10^-21) product =
Transcript text: Multiply the following and express your answer in appropriate scientific notation: \[ \left(2.2 \times 10^{-9}\right) \times\left(2.3 \times 10^{-21}\right) \] product $=$ $\square$
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Solution

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Solution Steps

To multiply two numbers in scientific notation, you multiply their coefficients and add their exponents.

Step 1: Multiply the Coefficients

We start by multiplying the coefficients of the two numbers: \[ 2.2 \times 2.3 = 5.06 \]

Step 2: Add the Exponents

Next, we add the exponents of the two numbers: \[ -9 + (-21) = -30 \]

Step 3: Express the Result in Scientific Notation

Now, we combine the results from the previous steps to express the product in scientific notation: \[ 5.06 \times 10^{-30} \]

Final Answer

\(\boxed{5.06 \times 10^{-30}}\)

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