Question

Compare 4 x 10 to the 5 power and 5 x 10 to the 3 power:

Answer 1

To compare \( 4 \times 10^5 \) and \( 5 \times 10^3 \), we can calculate each expression.

First, calculate \( 4 \times 10^5 \):
\[
4 \times 10^5 = 4 \times 100000 = 400000
\]

Next, calculate \( 5 \times 10^3 \):
\[
5 \times 10^3 = 5 \times 1000 = 5000
\]

Now, we can compare the two results:
\[
400000 \quad \text{and} \quad 5000
\]

Clearly, \( 400000 > 5000 \). Therefore, \( 4 \times 10^5 \) is greater than \( 5 \times 10^3 \).

In conclusion:
\[
4 \times 10^5 > 5 \times 10^3
\]