Evaluate nth roots and use rational exponents
Download as PPTX, PDF3 likes14,339 views
This document discusses algebra concepts including: - Exponents and their properties such as 32 = 9 and 102 = 100. - Roots and their properties depending on if the root is even or odd and if the radicand is positive, negative or zero. - Rational exponents and how to simplify expressions with them such as 1252/3 = 52 = 25. - Solving equations with exponents such as 4x5 = 128.
1 of 13
Downloaded 42 times
More Related Content
What's hot (20)
Ad
Viewers also liked (15)
Ad
Similar to Evaluate nth roots and use rational exponents (20)
More from gregcross22 (17)
Evaluate nth roots and use rational exponents
- 1. Algebra 2
- 2. 32 = 9 102 = 100 2172 = 47089
- 3. 23 = 8 53 = 125 1713 = 5000211
- 4. For an integer n greater than 1, if b n = a, then The nth root of a is equal to b
- 6. Let n be an integer (n > 1), a is a real number and n is an even integer a < 0, no real nth roots a = 0, one real nth root a > 0, two real nth roots
- 7. Let n be an integer (n > 1), a is a real number and n is an odd integer a < 0, one real nth root a = 0, one real nth root a > 0, one real nth root
- 8. n = 5, a = -32 Answer, n is odd so there is 1 solution: n = 6, a = 1 Answer – n is even, a is positive so 2 solutions:
- 9. Rational exponents don’t have to be in the form 1/n
- 10. 125 2/3 Answer : 125 2/3 = (125 1/3)2 = 52 = 25 8 -4/3 Answer: 1/16
- 11. Solve: 4x5 = 128 Solve: (x – 3)4 = 21 Solve: x6 – 34 = 181
- 12. Solve: 4x5 = 128 x = 2 Solve: (x – 3)4 = 21 x= Solve: x6 – 34 = 181 x=
- 13. If an expression is irrational then the solution or simplification can be expressed two ways: Exact answer: Approximate answer: Rational Exponent Example