Question

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