To divide \((1.5 \times 10^7)\) by \((3 \times 10^3)\), follow these steps:
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Divide the coefficients: \[ \frac{1.5}{3} = 0.5 \]
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Subtract the exponents of 10: \[ 10^{7 - 3} = 10^4 \]
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Combine the results: \[ 0.5 \times 10^4 \]
Now, to express \(0.5\) in standard scientific notation, it can be rewritten as: \[ 5 \times 10^{-1} \]
Thus: \[ 0.5 \times 10^4 = (5 \times 10^{-1}) \times 10^4 = 5 \times 10^{4 - 1} = 5 \times 10^3 \]
So the final answer in scientific notation is: \[ 5 \times 10^3 \]
The correct response is: 5×10³ (5 times 10 cubed)