QuestionAugust 27, 2025

9. Multiselect Select all of the expressions that evaluate to negative rational numbers. (-9)^4 (-(4)/(5))^3 3^5-10^4 (9.8)^2-10^2 (-(3)/(8))^2

9. Multiselect Select all of the expressions that evaluate to negative rational numbers. (-9)^4 (-(4)/(5))^3 3^5-10^4 (9.8)^2-10^2 (-(3)/(8))^2
9. Multiselect Select all of the expressions
that evaluate to negative rational numbers.
(-9)^4
(-(4)/(5))^3
3^5-10^4
(9.8)^2-10^2
(-(3)/(8))^2

Solution
4.0(204 votes)

Answer

(-\frac {4}{5})^{3}, 3^{5}-10^{4}, (9.8)^{2}-10^{2} Explanation 1. Evaluate (-9)^{4} (-9)^{4} = 6561, which is positive. 2. Evaluate (-\frac{4}{5})^{3} (-\frac{4}{5})^{3} = -\frac{64}{125}, which is negative. 3. Evaluate 3^{5} - 10^{4} 3^{5} = 243 and 10^{4} = 10000. Thus, 3^{5} - 10^{4} = 243 - 10000 = -9757, which is negative. 4. Evaluate (9.8)^{2} - 10^{2} (9.8)^{2} = 96.04 and 10^{2} = 100. Thus, (9.8)^{2} - 10^{2} = 96.04 - 100 = -3.96, which is negative. 5. Evaluate (-\frac{3}{8})^{2} (-\frac{3}{8})^{2} = \frac{9}{64}, which is positive.

Explanation

1. Evaluate $(-9)^{4}$<br /> $(-9)^{4} = 6561$, which is positive.<br />2. Evaluate $(-\frac{4}{5})^{3}$<br /> $(-\frac{4}{5})^{3} = -\frac{64}{125}$, which is negative.<br />3. Evaluate $3^{5} - 10^{4}$<br /> $3^{5} = 243$ and $10^{4} = 10000$. Thus, $3^{5} - 10^{4} = 243 - 10000 = -9757$, which is negative.<br />4. Evaluate $(9.8)^{2} - 10^{2}$<br /> $(9.8)^{2} = 96.04$ and $10^{2} = 100$. Thus, $(9.8)^{2} - 10^{2} = 96.04 - 100 = -3.96$, which is negative.<br />5. Evaluate $(-\frac{3}{8})^{2}$<br /> $(-\frac{3}{8})^{2} = \frac{9}{64}$, which is positive.
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