To simplify the expression \(\frac{4 \times 10^9}{5 \times 10^7}\), you can break it down as follows:
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Divide the coefficients (the numbers in front): \[ \frac{4}{5} \]
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Subtract the exponents of 10 (since we are dividing with the same base): \[ 10^{9 - 7} = 10^2 \]
Putting it all together: \[ \frac{4 \times 10^9}{5 \times 10^7} = \frac{4}{5} \times 10^2 \]
This can also be expressed as: \[ 0.8 \times 10^2 \]
If preferred in scientific notation: \[ 8.0 \times 10^1 \]
So, the final simplified result is: \[ \frac{4}{5} \times 10^2 \quad \text{or} \quad 8.0 \times 10^1 \]
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