Question

Compare 7.6 times 10 to the pwoer of negative 25 and 6.7 times 10 to the power of -52 which statement is true??

Answer 1

so its 7.6 times 10^{-25} > 6.7 times 10^{-52}

Answer 2

To compare \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we can consider the magnitude of these numbers:

1. **Convert to standard form**: Both numbers are already in scientific notation.

- \( 7.6 \times 10^{-25} \) means \( 7.6 \) multiplied by \( 0.000000000000000000000001 \) (which is \( 10^{-25} \)).
- \( 6.7 \times 10^{-52} \) means \( 6.7 \) multiplied by \( 0.00000000000000000000000000000000000000000000000001 \) (which is \( 10^{-52} \)).

2. **Comparing exponents**: The exponent in the first number, \(-25\), is greater than the exponent in the second number, \(-52\). In scientific notation, a larger exponent (when the base is the same) indicates a larger number.

3. **Conclusion**: Therefore, since \(-25 > -52\), it follows that

\[
7.6 \times 10^{-25} > 6.7 \times 10^{-52}
\]

Thus, the true statement is:

**\( 7.6 \times 10^{-25} \) is greater than \( 6.7 \times 10^{-52} \).**

Answer 3

Yes, that's correct!

The comparison is:

\[
7.6 \times 10^{-25} > 6.7 \times 10^{-52}
\]

This means that \( 7.6 \times 10^{-25} \) is greater than \( 6.7 \times 10^{-52} \).