1.	Express the following ratios in their simplest forms: 1. Ratio 0.490 : 0.210 Correct Answer 7:3 2. Ratio: $$\frac{5}{3} : \frac{9}{2}$$ Correct Answer 10:27 3. Ratio 15 : 70 Correct Answer 3:14

2.	Write the following as percentages 1. Number: 0.59 Correct Answer 59 % 2. Number: $$\frac{5}{2}$$ Correct Answer 250 % 3. Number: 2.0 Correct Answer 200 %

3.	Write the following as a fraction $$ 42.86 \%$$ Correct Answer $$\frac{3}{7}$$

4.	Logs Solve the following for x: $$\ln\left({\left(5x\right)}^{4}\right) + \ln\left({\left(4x\right)}^{-5}\right) = \ln\left(x\right) + -2$$ Correct Answer $$ x = {\left(\frac{1024\exp\left(-2\right)}{625}\right)}^{\frac{-1}{2}} $$

5.

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

6.	Express the following ratios in their simplest forms: 1. Ratio 0.280 : 0.200 Correct Answer 7:5 2. Ratio: $$\frac{2}{10} : \frac{12}{4}$$ Correct Answer 1:15 3. Ratio 22.0 : 26.4 Correct Answer 5:6

7.	Write the following as percentages 1. Number: 0.46 Correct Answer 46 % 2. Number: $$\frac{7}{8}$$ Correct Answer 87.5 % 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: $$-6\ln\left(5x\right) + 6\ln\left((-x)\right) = \ln\left(x\right) + -1$$ Correct Answer $$ x = {\left(15625\exp\left(-1\right)\right)}^{-1} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{-1}{x}^{5} $$ Correct Answer $${x}^{4} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-4}{-6}}{x}^{\frac{-1}{-6}} $$ Correct Answer $${x}^{\frac{2}{3}}{x}^{\frac{1}{6}} $$ 3. Please simplify the following expression: $$ {\left({x}^{3}\right)}^{-6} $$ Correct Answer $$ {x}^{-18} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{-5}{y}^{2}}{{y}^{-1}} $$ Correct Answer $$ {x}^{15}{y}^{3} $$