To solve \((9 \times 10^6) \div (12 \times 10^9)\), we can simplify the expression step by step:
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Divide the coefficients (9 and 12): \[ \frac{9}{12} = \frac{3}{4} \]
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Subtract the exponents of 10: \[ 10^{6 - 9} = 10^{-3} \]
Now, putting it all together: \[ \frac{9 \times 10^6}{12 \times 10^9} = \frac{3}{4} \times 10^{-3} \]
This can be expressed as: \[ \frac{3 \times 10^{-3}}{4} \]
In decimal form, \(10^{-3} = 0.001\), so: \[ \frac{3 \times 0.001}{4} = \frac{0.003}{4} = 0.00075 \]
Thus, the final result is: \[ \frac{3}{4} \times 10^{-3} = 0.00075 \]