4x10 to the 9/ 5x10 to the 7

Answer 1

To simplify the expression \(\frac{4 \times 10^9}{5 \times 10^7}\), you can break it down as follows:

1. Divide the coefficients (the numbers in front): \[ \frac{4}{5} \]

2. 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: \[ \frac{4}{5} \times 10^2 \quad \text{or} \quad 8.0 \times 10^1 \]