To multiply the numbers \(5.5 \cdot 10^4\) and \(2.2 \cdot 10^{-8}\), you can follow these steps:
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Multiply the coefficients: \[ 5.5 \cdot 2.2 = 12.1 \]
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Add the exponents of 10: \[ 10^4 \cdot 10^{-8} = 10^{4 + (-8)} = 10^{-4} \]
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Combine the results: \[ 12.1 \cdot 10^{-4} \]
To express it in standard scientific notation, you can adjust it to: \[ 1.21 \cdot 10^{-3} \]
So the final result is: \[ 1.21 \cdot 10^{-3} \]