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- Math 30-2 (Alberta)
- Exponential Functions
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
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4.
Exponential Functions
4.1
Exponents: Product rule (ax)(ay)=a(x+y)
4.2
Exponents: Division rule ayax=a(x−y)
4.3
Exponents: Power rule (ax)y=a(x⋅y)
4.4
Exponents: Negative exponents
4.5
Exponents: Zero exponent: a0=1
4.6
Exponents: Rational exponents
4.7
Solving exponential equations using exponent rules
4.8
Graphing exponential functions
4.9
Graphing transformations of exponential functions
4.10
Finding an exponential function given its graph
Don't just watch, practice makes perfect
Exponents: Rational exponents
Don't just watch, practice makes perfect.
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