To compare \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we can express both numbers in a common format to determine which is larger.
Since \( 10^{-25} \) is larger than \( 10^{-52} \), we can rewrite \( 6.7 \times 10^{-52} \) in terms of \( 10^{-25} \):
\[ 6.7 \times 10^{-52} = 6.7 \times 10^{-52 + 27} \times 10^{-25} = 6.7 \times 10^{-25} \times 10^{-27} \]
Now we have:
\[ 7.6 \times 10^{-25} \quad \text{and} \quad 6.7 \times 10^{-25} \times 10^{-27} \]
We know \( 10^{-27} \) is a very small number (much less than 1). Therefore:
\[ 6.7 \times 10^{-52} = 6.7 \times 10^{-25} \times 10^{-27} < 6.7 \times 10^{-25} \]
Since \( 7.6 > 6.7 \), it follows that:
\[ 7.6 \times 10^{-25} > 6.7 \times 10^{-52} \]
Thus, the correct statement is:
\[ \boxed{7.6 \times 10^{-25} > 6.7 \times 10^{-52}} \]
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