1.	Express the following ratios in their simplest forms: 1. Ratio 46.2 : 39.6 Correct Answer 7:6 2. Ratio: $$\frac{12}{8} : \frac{6}{2}$$ Correct Answer 1:2 3. Ratio 8.80 : 22.0 Correct Answer 2:5

2.	Write the following as percentages 1. Number: 0.31 Correct Answer 31 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.8 Correct Answer 180 %

3.	Write the following as a fraction $$ 40.00 \%$$ Correct Answer $$\frac{2}{5}$$

4.	Logs Solve the following for x: $$-6\ln\left(-4x\right) + \ln\left({\left(2x\right)}^{-6}\right) = \ln\left(x\right) + -3$$ Correct Answer $$ x = {\left(262144\exp\left(-3\right)\right)}^{\frac{-1}{13}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{4}{x}^{3} $$ Correct Answer $${x}^{7} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-1}{-5}}{x}^{\frac{5}{-5}} $$ Correct Answer $$\frac{{x}^{\frac{1}{5}}}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{-4} $$ Correct Answer $$ {x}^{16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-1}\right)}^{1}{y}^{-6}}{{y}^{-6}} $$ Correct Answer $$ \frac{1}{x} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 24 : 48 Correct Answer 3:6 2. Ratio: $$\frac{4}{7} : \frac{11}{11}$$ Correct Answer 4:7 3. Ratio 9.90 : 13.2 Correct Answer 3:4

7.	Write the following as percentages 1. Number: 0.45 Correct Answer 45 % 2. Number: $$\frac{5}{7}$$ Correct Answer 71.4 % 3. Number: 1.5 Correct Answer 150 %

8.	Write the following as a fraction $$ 33.33 \%$$ Correct Answer $$\frac{1}{3}$$

9.	Logs Solve the following for x: $$6\ln\left(-5x\right) + 6\ln\left(-6x\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(\frac{\exp\left(-2\right)}{729000000}\right)}^{\frac{1}{11}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{4}{x}^{-6} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{2}}{{x}^{-4}} $$ Correct Answer $${x}^{6} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{-5} $$ Correct Answer $$ {x}^{15} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{4}\right)}^{-2}{y}^{-4}}{{y}^{2}} $$ Correct Answer $$ \frac{1}{{x}^{8}{y}^{6}} $$