Compare 7.6 × 10−25 and 6.7 × 10−52 . Which statement is true?(1 point) Responses 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 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 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline 7.6 × 10−25

Question

Compare 7.6 × 10−25 and 6.7 × 10−52 . Which statement is true?(1 point) Responses 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 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 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline 7.6 × 10−25 < 6.7 × 10−52

GPT-4o mini · Answer

To compare the numbers $ 7.6 \times 10^{-25} $ and $ 6.7 \times 10^{-52} $, we can rewrite them in a more comparable form. Both numbers are in scientific notation, and we can compare their exponents: - The first number $ 7.6 \times 10^{-25} $ has an exponent of $-25$. - The second number $ 6.7 \times 10^{-52} $ has an exponent of $-52$. Since $-25$ is greater than $-52$, this means that $ 10^{-25} $ is larger than $ 10^{-52} $. Therefore, when we multiply the coefficients by their respective powers of 10, we find: $$ 7.6 \times 10^{-25} > 6.7 \times 10^{-52} $$ Thus, the correct statement is: **7.6 × 10−25 > 6.7 × 10−52**.