1.	Express the following ratios in their simplest forms: 1. Ratio 0.630 : 0.0600 Correct Answer 21:2 2. Ratio: $$\frac{11}{1} : \frac{6}{12}$$ Correct Answer 22:1 3. Ratio 22.0 : 44.0 Correct Answer 5:10

2.	Write the following as percentages 1. Number: 0.41 Correct Answer 41 % 2. Number: $$\frac{3}{4}$$ Correct Answer 75.0 % 3. Number: 1.6 Correct Answer 160 %

3.	Write the following as a fraction $$ 60.00 \%$$ Correct Answer $$\frac{3}{5}$$

4.	Logs Solve the following for x: $$-5\ln\left(x\right) + \ln\left({\left(4x\right)}^{3}\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{64}\right)}^{\frac{-1}{3}} $$

5.

Powers 1. Please simplify the following expression: $$ {x}^{6}{x}^{-2} $$ Correct Answer $${x}^{4} $$ 2. Please simplify the following expression: $$ {x}^{\frac{-1}{3}}{x}^{\frac{-3}{3}} $$ Correct Answer $$\frac{{x}^{\frac{-1}{3}}}{x} $$ 3. Please simplify the following expression: $$ {\left({x}^{-3}\right)}^{-6} $$ Correct Answer $$ {x}^{18} $$ 4. Please simplify the following expression: $$ \frac{{\left({x}^{2}\right)}^{5}{y}^{2}}{{y}^{-2}} $$ Correct Answer $$ {x}^{10}{y}^{4} $$

6.	Express the following ratios in their simplest forms: 1. Ratio 16 : 40 Correct Answer 2:5 2. Ratio: $$\frac{4}{1} : \frac{4}{1}$$ Correct Answer 1:1 3. Ratio 11.0 : 22.0 Correct Answer 5:10

7.	Write the following as percentages 1. Number: 0.74 Correct Answer 74 % 2. Number: $$\frac{2}{5}$$ Correct Answer 40.0 % 3. Number: 1.6 Correct Answer 160 %

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

9.	Logs Solve the following for x: $$3\ln\left(3x\right) + -5\ln\left(x\right) = \ln\left(x\right) + 5$$ Correct Answer $$ x = {\left(\frac{\exp\left(5\right)}{27}\right)}^{\frac{-1}{3}} $$

10.

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