To calculate the expression \((4.8 \times 10^8)(2.2 \times 10^{-6})(1.2 \times 10^4)\), we can break it down into two parts: the coefficients (the numbers before the powers of 10) and the powers of 10 separately.
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First, calculate the coefficients: \[ 4.8 \times 2.2 \times 1.2 \]
Calculating step by step: \[ 4.8 \times 2.2 = 10.56 \] Then: \[ 10.56 \times 1.2 = 12.672 \]
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Next, calculate the powers of 10: \[ 10^8 \times 10^{-6} \times 10^4 = 10^{(8 + (-6) + 4)} = 10^{(8 - 6 + 4)} = 10^6 \]
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Now combine the results: \[ 12.672 \times 10^6 \]
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To express this in standard form (scientific notation), we need to adjust the coefficient: \[ 12.672 = 1.2672 \times 10^1 \] Thus: \[ 12.672 \times 10^6 = 1.2672 \times 10^1 \times 10^6 = 1.2672 \times 10^{7} \]
Now, converting \(1.2672 \times 10^{7}\) into standard decimal form gives us: \[ 1.2672 \times 10^{7} = 12672000 \]
However, since the answers provided are in simple decimal form, we notice that our coefficients calculated above were correct, but we should represent \(1.2672\) in a way leading to the right option in your choices.
Reviewing this, it seems none of the provided options match this direct calculation, indicating a possible miscalculation based on misunderstanding the expression or a mistake in answer choices.
To summarize:
- \((4.8 \times 10^8)(2.2 \times 10^{-6})(1.2 \times 10^4)\) computes to \(12.672 \times 10^6\) or \(12672000\), and when simplified provides no exact answers from the choices; if we must look for possible representative choices based on simplified forms, one needs clarity on the expectations for standard form as \(0.088\) or similar remains ambiguous as values.
Thus, clarifying what desired outcome symbols mean to choose accurately from provided responses is best as the calculation yields a clear scientific notation indicator.
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