Compare 7.6 × 10^−25

7.6

×

10

25
and 6.7 × 10^−52
6.7

×

10

52
. Which statement is true?(1 point)
Responses

7.6 × 10^−25 < 6.7 × 10^−52
7.6

×

10

25

<

6.7

×

10

52
7.6 times 10 Superscript negative 25 Baseline is less than 6.7 times 10 Superscript negative 52 Baseline

7.6 × 10^−25 = 6.7 × 10^−52
7.6

×

10

25

=

6.7

×

10

52
7.6 times 10 Superscript negative 25 Baseline equals 6.7 times 10 Superscript negative 52 Baseline

7.6 × 10^−25 > 6.7 × 10^−52
7.6

×

10

25

>

6.7

×

10

52
7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline

7.6 × 10^−25 ≤ 6.7 × 10^−52
7.6

×

10

25



6.7

×

10

52

1 answer

To compare \( 7.6 \times 10^{-25} \) and \( 6.7 \times 10^{-52} \), we first look at the powers of ten.

  • \( 7.6 \times 10^{-25} \) has an exponent of \(-25\).
  • \( 6.7 \times 10^{-52} \) has an exponent of \(-52\).

Since \(-25\) is greater than \(-52\), \( 10^{-25} \) is a much larger value than \( 10^{-52} \).

Therefore, we can conclude that: \[ 7.6 \times 10^{-25} > 6.7 \times 10^{-52} \]

The correct statement from the provided options is:

  • 7.6 × 10^−25 > 6.7 × 10^−52