1.	Express the following ratios in their simplest forms: 1. Ratio 40 : 24 Correct Answer 5:3 2. Ratio: $$\frac{10}{10} : \frac{7}{10}$$ Correct Answer 10:7 3. Ratio 5 : 10 Correct Answer 1:2

2.	Write the following as percentages 1. Number: 0.92 Correct Answer 92 % 2. Number: $$\frac{7}{5}$$ Correct Answer 140 % 3. Number: 1.8 Correct Answer 180 %

3.	Write the following as a fraction $$ 71.43 \%$$ Correct Answer $$\frac{5}{7}$$

4.	Logs Solve the following for x: $$3\ln\left(5x\right) + 3\ln\left(5x\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{15625}\right)}^{\frac{1}{5}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{-3}{x}^{2} $$ Correct Answer $$\frac{1}{x} $$ 2. Please simplify the following expression: $$ {x}^{\frac{1}{-2}}{x}^{\frac{-3}{-2}} $$ Correct Answer $${x}^{\frac{-1}{2}}{x}^{\frac{3}{2}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-4}\right)}^{6} $$ Correct Answer $$ {x}^{-24} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-5}\right)}^{-5}{y}^{-4}}{{y}^{5}} $$ Correct Answer $$ \frac{{x}^{25}}{{y}^{9}} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 8.80 : 26.4 Correct Answer 1:3 2. Ratio: $$\frac{7}{5} : \frac{11}{3}$$ Correct Answer 21:55 3. Ratio 0.0700 : 0.210 Correct Answer 1:3

7.	Write the following as percentages 1. Number: 0.57 Correct Answer 57 % 2. Number: $$\frac{3}{5}$$ Correct Answer 60.0 % 3. Number: 2.0 Correct Answer 200 %

8.	Write the following as a fraction $$ 80.00 \%$$ Correct Answer $$\frac{4}{5}$$

9.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{6}\right) + \ln\left({\left(6x\right)}^{-4}\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = \frac{1296\exp\left(3\right)}{15625} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-5}{x}^{3} $$ Correct Answer $$\frac{1}{{x}^{2}} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-4}}{{x}^{4}} $$ Correct Answer $$\frac{1}{{x}^{8}} $$ 3. Please simplify the following expression: $$ {\left({x}^{4}\right)}^{5} $$ Correct Answer $$ {x}^{20} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{3}\right)}^{6}{y}^{5}}{{y}^{5}} $$ Correct Answer $$ {x}^{18} $$