To find out how many times larger \( 4 \times 10^7 \) is than \( 8 \times 10^4 \), you can divide the two values:
\[ \frac{4 \times 10^7}{8 \times 10^4} \]
First, simplify the fraction:
\[ = \frac{4}{8} \times \frac{10^7}{10^4} \]
Calculating \( \frac{4}{8} \):
\[ \frac{4}{8} = \frac{1}{2} \]
For the powers of ten:
\[ \frac{10^7}{10^4} = 10^{7-4} = 10^3 \]
Now, putting it all together:
\[ \frac{4 \times 10^7}{8 \times 10^4} = \frac{1}{2} \times 10^3 = \frac{10^3}{2} = 500 \]
Thus, \( 4 \times 10^7 \) is 500 times larger than \( 8 \times 10^4 \).
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