1.	Express the following ratios in their simplest forms: 1. Ratio 28 : 10 Correct Answer 14:5 2. Ratio: $$\frac{11}{2} : \frac{12}{12}$$ Correct Answer 11:2 3. Ratio 6 : 12 Correct Answer 1:2

2.	Write the following as percentages 1. Number: 0.71 Correct Answer 71 % 2. Number: $$\frac{7}{3}$$ Correct Answer 233 % 3. Number: 1.7 Correct Answer 170 %

3.	Write the following as a fraction $$ 50.00 \%$$ Correct Answer $$\frac{1}{2}$$

4.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{-6}\right) + \ln\left({\left(3x\right)}^{-3}\right) = \ln\left(x\right) + -5$$ Correct Answer $$ x = {\left(421875\exp\left(-5\right)\right)}^{\frac{-1}{10}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{-3} $$ Correct Answer $$\frac{1}{{x}^{4}} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-1}{3}}{x}^{\frac{5}{3}} $$ Correct Answer $${x}^{\frac{-1}{3}}{x}^{\frac{5}{3}} $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{-2} $$ Correct Answer $$ {x}^{-6} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-6}\right)}^{5}{y}^{6}}{{y}^{-5}} $$ Correct Answer $$ \frac{{y}^{11}}{{x}^{30}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.0400 : 0.0600 Correct Answer 2:3 2. Ratio: $$\frac{1}{7} : \frac{6}{12}$$ Correct Answer 2:7 3. Ratio 33.0 : 38.5 Correct Answer 6:7

7.	Write the following as percentages 1. Number: 0.39 Correct Answer 39 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 1.8 Correct Answer 180 %

8.	Write the following as a fraction $$ 50.00 \%$$ Correct Answer $$\frac{1}{2}$$

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

10.

Powers 1. Please simplify the following expression: $$ {x}^{-5}{x}^{-1} $$ Correct Answer $$\frac{1}{{x}^{6}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-3}}{{x}^{-5}} $$ Correct Answer $${x}^{2} $$ 3. Please simplify the following expression: $$ {\left({x}^{2}\right)}^{2} $$ Correct Answer $$ {x}^{4} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{-5}{y}^{-3}}{{y}^{5}} $$ Correct Answer $$ \frac{1}{{x}^{10}{y}^{8}} $$