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- GCE O-Level A Maths
- Laws of Indices
Exponents: Rational exponents
- Lesson: 17:45
- Lesson: 27:45
- Lesson: 2a2:00
- Lesson: 2b4:56
- Lesson: 3a0:49
- Lesson: 3b0:57
- Lesson: 3c2:11
- Lesson: 3d4:25
- Lesson: 3e13:57
- Lesson: 4a0:49
- Lesson: 4b0:57
- Lesson: 4c2:11
- Lesson: 5a0:27
- Lesson: 5b1:25
- Lesson: 5c1:39
- Lesson: 5d2:03
- Lesson: 5e2:46
Exponents: Rational exponents
Basic Concepts: Convert between radicals and rational exponents
Related Concepts: Power rule
Lessons
• nx=xn1
• x−n1=xn11=nx1
• xnm=nxm
• x−n1=xn11=nx1
• xnm=nxm
- 1.prove: a83=8a3
- 2.Simplifying Expressions Using: nx=xn1
Simplify the following expressions if possible.a)6431
1641b)(−16)41
(−32)51 - 3.evaluate:a)(25)21b)(−4)21c)(10)83d)(8)35e)(−32243)−52
- 4.Simplifying Expressions Using: x−n1=xn11=nx1
Simplify the following expressions.a)27−31b)6x1c)(64x8)−21 - 5.Simplifying Expressions Using: xnm=nxm
Simplify the following expressions if possible.a)2x6b)2523c)(−125)−32d)36x16y24e)3−216a9b24c117