The number of students taking German or Spanish is 5 + 8 = 13. Of that group of 13, 3 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 13 - 3 = 10 who are taking at least one language. 24 - 10 = 14 students who are not taking either language.

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

-9a⁶ x 6a⁵
(-9 x 6)a^{(6 + 5)}
-54a¹¹

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

\( \sqrt{\frac{4}{4}} \)
\( \frac{\sqrt{4}}{\sqrt{4}} \)
\( \frac{\sqrt{2^2}}{\sqrt{2^2}} \)
1

April scored 84% on the test meaning she earned 84% of the possible points on the test. There were 400 possible points on the test so she earned 400 x 0.84 = 336 points. Each question is worth 4 points so she got \( \frac{336}{4} \) = 84 questions right.