ALGEBRAIC For the following exercises, simplify the given expression. Write answers with positive exponents. 25. $\frac{a^3a^2}{a}$ 26. $\frac{rmn^2}{m^{-2}}$ 27. $(b^3c^4)^2$ 28. $(\frac{x^{-3}}{y^2})^{-5}$ 29. $ab^2 \div d^{-3}$ 30. $(w^0x^5)^{-1}$ 31. $\frac{m^4}{n^0}$ 32. $y^{-4}(y^2)^2$ 33. $\frac{p^{-4}q^2}{p^2q^{-3}}$ 34. $(l \times w)^2$ 35. $(y^7)^3 \div x^{14}$ 36. $(\frac{a}{2^3})^2$ 37. $5^2m \div 5^0m$ 38. $\frac{(16\sqrt{x})^2}{y^{-1}}$ 39. $\frac{2^3}{(3a)^{-2}}$ 40. $(ma^6)^2 \frac{1}{m^3a^2}$ 41. $(b^{-3}c)^3$ 42. $(x^2y^{13} \div y^0)^2$ 43. $(9z^3)^{-2}y$
Added by Jennifer B.
Close
Step 1
3a^2 This expression cannot be simplified any further because there are no like terms to combine. Show more…
Show all steps
Your feedback will help us improve your experience
Kumareshwaran Rathinasabapathy and 101 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Simplify the following expressions. Any answers that contain exponents should contain positive exponents only. Be sure to submit your answers here using the math type, or upload your work, or submit via email on paper:
Jackson M.
In Exercises $3-42,$ simplify the given expressions. Express results with positive exponents only. $$2 i^{40} i^{-70}$$
Basic Algebraic Operations
Exponents and Unit Conversions
QUESTION 16 Apply the rules for exponents to simplify each of the following expressions. Be sure to write each answer in positive exponents. a) (a^4/3 b^-1/2)(a^5/3 b^-5/4) b) sqrt(cuberoot(x^4 y^2 z)) c) [a^5/2 b^-1/3]^3 / [a^4/3 b^3/2]^2
Erika B.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD