To simplify the expression \((2.16 \times 10^6) \div (2.7 \times 10^2)\), you can break it down into two parts: the coefficients and the powers of ten.
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Divide the coefficients: \[ \frac{2.16}{2.7} \approx 0.8 \]
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Subtract the exponents of the powers of ten: \[ 10^{6 - 2} = 10^{4} \]
Now, combine the results from the two parts: \[ 0.8 \times 10^4 \]
To express this in proper scientific notation, we can rewrite \(0.8\) as \(8.0 \times 10^{-1}\): \[ 0.8 \times 10^4 = 8.0 \times 10^{-1} \times 10^4 = 8.0 \times 10^{3} \]
So, the simplified result is: \[ \boxed{8.0 \times 10^3} \]
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