To evaluate the expression \((4.8\times10^8)(2.2\times10^{-6})(1.2\times10^4)\), we'll first multiply the coefficients and then add the exponents of the powers of 10.
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Multiply the coefficients: \[ 4.8 \times 2.2 \times 1.2 \]
First, calculate \(4.8 \times 2.2\): \[ 4.8 \times 2.2 = 10.56 \]
Now multiply by \(1.2\): \[ 10.56 \times 1.2 = 12.672 \]
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Add the exponents of the powers of 10: \[ 10^8 \times 10^{-6} \times 10^4 = 10^{(8 - 6 + 4)} = 10^{6} \]
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Combine the results: \[ 12.672 \times 10^{6} \]
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Convert to standard form (keep only one non-zero digit before the decimal): \[ 12.672 = 1.2672 \times 10^1 \] Thus, \[ 1.2672 \times 10^1 \times 10^{6} = 1.2672 \times 10^{7} \]
In standard form, the expression evaluates to \(1.2672 \times 10^{7}\). This can also be expressed numerically as \(12.672 \times 10^6\).
None of the options provided in the responses seem correct, as they don't match the computed value in standard form.