Compare 7.6 × 10 to the power of −25 and 6.7 × 10 to the power of −52 . Which statement is true?(1 point)

Answer 1

To compare the two numbers \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we can express them in a more comparable format by converting both to decimal form:

1. \( 7.6 \times 10^{-25} \) is equal to \( 0.000000000000000000000076 \).
2. \( 6.7 \times 10^{-52} \) is equal to \( 0.000000000000000000000000000000000000000000000000067 \).

From this, we can see that \( 7.6 \times 10^{-25} \) is much larger than \( 6.7 \times 10^{-52} \) because \( 7.6 \times 10^{-25} \) has a higher value in terms of the significant digits and is located closer to zero in the negative exponent range.

Thus, the true statement is:

\( 7.6 \times 10^{-25} > 6.7 \times 10^{-52} \).