To evaluate the expression \((4.8 \times 10^8)(2.2 \times 10^{-6})(1.2 \times 10^4)\), we can multiply the coefficients (the numbers in front) and then add the exponents.
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Multiply the coefficients: \[ 4.8 \times 2.2 \times 1.2 \]
Let's calculate it step-by-step: \[ 4.8 \times 2.2 = 10.56 \] \[ 10.56 \times 1.2 = 12.672 \]
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Add the exponents: \[ 10^8 \times 10^{-6} \times 10^4 = 10^{8 - 6 + 4} = 10^6 \]
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Combine the results: \[ 12.672 \times 10^6 \]
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Convert to standard form: The number 12.672 can be written as \(1.2672 \times 10^1\) (moving the decimal one place to the left). Therefore: \[ 12.672 \times 10^6 = 1.2672 \times 10^{1 + 6} = 1.2672 \times 10^7 \]
Thus, the expression in standard form is: \[ 1.2672 \times 10^7 \]
None of the provided responses (0.0058, 0.00088, 0.58, 0.088) match the result. Could you please verify the choices?