To calculate the value of the expression \((1.2 \times 10^4)(4.8 \times 10^8)(2.2 \times 10^{-6})\), we can first multiply the coefficients (the numbers in front) and then add the exponents of 10.
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Multiply the coefficients: \[ 1.2 \times 4.8 \times 2.2 \] Calculating step by step: \[ 1.2 \times 4.8 = 5.76 \] Now multiply by 2.2: \[ 5.76 \times 2.2 = 12.672 \]
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Add the exponents: \[ 10^4 \times 10^8 \times 10^{-6} = 10^{(4 + 8 - 6)} = 10^6 \]
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Combining the results: \[ 12.672 \times 10^6 \]
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Convert to standard form: Standard form requires it to be a number between 1 and 10 multiplied by a power of 10. Therefore, we convert \(12.672\) to \(1.2672\) by moving the decimal point one place to the left, and increasing the exponent by 1: \[ 12.672 \times 10^6 = 1.2672 \times 10^7 \]
Now we check the options given:
- \(0.0058\)
- \(0.00088\)
- \(0.58\)
- \(0.088\)
None of these values correspond to \(1.2672 \times 10^7\).
However, if we approximate:
- \(1.2672 \times 10^7 = 12,672,000\)
If the question might be considering a conversion into decimal format for smaller values, check the possible errors or formatting options again.
In conclusion, the value in standard form captured through the operations is \(1.2672 \times 10^7\) which does not correspond to any of the multiple choice answers you provided. If you're looking for a smaller number, please provide that prompt again for clarification.
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