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MAT 1251 Applied Calculus I, Sean Forman

Approximate the following using your calculator

1. $${4^7}$$

2. $${7^4}$$

3. $${2^{2.56}}$$

4. $${2.56^{5.67}}$$

5. $${\frac{2.1^5}{3.1^4}}$$

6. $${2^{-2}}$$

Simplify the following expressions without using a calculator.

1. $${3^3}$$

2. $${3^{-3}}$$

3. $${3^2 2^3}$$

4. $${(2^3)^2}$$

5. $${(\frac{2}{3})^3}$$

6. $${\frac{2^6}{2^3}}$$

7. $${2^0 3^1}$$

8. $${3^{-3}}$$

9. $${\left(\frac{4}{5}\right)^{-1}}$$

10. $${3^{-2} 27}$$

11. $${\left(\frac{1}{5}\right)^{-1} - \left(\frac{1}{2}\right)^{-2}}$$

12. $${\left(\frac{1}{5}\right)^{2} - \left(\frac{1}{10}\right)^{2}}$$

13. $${(x^{4})^{3}}$$

14. $${x^4 x^{3}}$$

15. $${x^4 x^{-3}}$$

16. $${\frac{x^6}{x^4}}$$

17. $${(x x^2)^3}$$

18. $${(x^2 y^3)^2}$$

19. $${x^0}$$

20. $${(x + 3y)^2}$$

21. $${(x - 3)^{-2}}$$