1.	Express the following ratios in their simplest forms: 1. Ratio 46.2 : 23.1 Correct Answer 6:3 2. Ratio: $$\frac{7}{9} : \frac{1}{1}$$ Correct Answer 7:9 3. Ratio 0.420 : 0.840 Correct Answer 7:14

2.	Write the following as percentages 1. Number: 0.42 Correct Answer 42 % 2. Number: $$\frac{7}{5}$$ Correct Answer 140 % 3. Number: 1.6 Correct Answer 160 %

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

4.	Logs Solve the following for x: $$-4\ln\left(6x\right) + \ln\left({\left(3x\right)}^{-4}\right) = \ln\left(x\right) + 3$$ Correct Answer $$ x = {\left(104976\exp\left(3\right)\right)}^{\frac{-1}{9}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{1}{x}^{1} $$ Correct Answer $${x}^{2} $$ 2. Please simplify the following expression: $$ \frac{{x}^{-5}}{{x}^{3}} $$ Correct Answer $$\frac{1}{{x}^{8}} $$ 3. Please simplify the following expression: $$ {\left({x}^{4}\right)}^{-4} $$ Correct Answer $$ {x}^{-16} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-2}\right)}^{-6}{y}^{1}}{{y}^{-5}} $$ Correct Answer $$ {x}^{12}{y}^{6} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 0.240 : 0.400 Correct Answer 3:5 2. Ratio: $$\frac{8}{2} : \frac{5}{5}$$ Correct Answer 4:1 3. Ratio 0.320 : 0.560 Correct Answer 4:7

7.	Write the following as percentages 1. Number: 0.10 Correct Answer 10 % 2. Number: $$\frac{2}{3}$$ Correct Answer 66.7 % 3. Number: 2.1 Correct Answer 210 %

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

9.	Logs Solve the following for x: $$\ln\left({\left(3x\right)}^{-2}\right) + \ln\left({\left(4x\right)}^{-1}\right) = \ln\left(x\right) + 6$$ Correct Answer $$ x = {\left(36\exp\left(6\right)\right)}^{\frac{-1}{4}} $$

10.

Powers 1. Please simplify the following expression: $$ {x}^{3}{x}^{5} $$ Correct Answer $${x}^{8} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-1}{5}}{x}^{\frac{-3}{5}} $$ Correct Answer $${x}^{\frac{-1}{5}}{x}^{\frac{-3}{5}} $$ 3. Please simplify the following expression: $$ {\left({x}^{-6}\right)}^{6} $$ Correct Answer $$ {x}^{-36} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{-3}\right)}^{6}{y}^{-5}}{{y}^{4}} $$ Correct Answer $$ \frac{1}{{x}^{18}{y}^{9}} $$