1.	Express the following ratios in their simplest forms: 1. Ratio 30.8 : 8.80 Correct Answer 7:2 2. Ratio: $$\frac{7}{6} : \frac{3}{8}$$ Correct Answer 28:9 3. Ratio 40 : 16 Correct Answer 5:2

2.	Write the following as percentages 1. Number: 0.49 Correct Answer 49 % 2. Number: $$\frac{5}{3}$$ Correct Answer 167 % 3. Number: 1.6 Correct Answer 160 %

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

4.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{4}\right) + \ln\left({\left(2x\right)}^{6}\right) = \ln\left(x\right) + -5$$ Correct Answer $$ x = {\left(\frac{\exp\left(-5\right)}{40000}\right)}^{\frac{1}{9}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 4.40 : 13.2 Correct Answer 1:3 2. Ratio: $$\frac{4}{1} : \frac{6}{6}$$ Correct Answer 4:1 3. Ratio 162 : 15.4 Correct Answer 21:2

7.	Write the following as percentages 1. Number: 0.77 Correct Answer 77 % 2. Number: $$\frac{5}{7}$$ Correct Answer 71.4 % 3. Number: 1.8 Correct Answer 180 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(2x\right)}^{2}\right) + \ln\left({\left(3x\right)}^{6}\right) = \ln\left(x\right) + -4$$ Correct Answer $$ x = {\left(\frac{\exp\left(-4\right)}{2916}\right)}^{\frac{1}{7}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{2}{x}^{2} $$ Correct Answer $${x}^{4} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-2}{-6}}{x}^{\frac{-5}{-6}} $$ Correct Answer $${x}^{\frac{1}{3}}{x}^{\frac{5}{6}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-6}\right)}^{3} $$ Correct Answer $$ {x}^{-18} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-5}\right)}^{6}{y}^{5}}{{y}^{-2}} $$ Correct Answer $$ \frac{{y}^{7}}{{x}^{30}} $$