Fractional Indices 2
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Question 1 of 6
1. Question
Simplify1634- (8)
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Fractional Powers
aTB=(B√a)TUse Fractional Powers to simplify the expression.1634 = (4√16)3 = (2)3 4√16=2 = 8 8 -
Question 2 of 6
2. Question
Simplify12513- (5)
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Fractional Powers
aTB=(B√a)TUse Fractional Powers to simplify the expression.12513 = (3√125)1 = (5)1 3√125=5 = 5 5 -
Question 3 of 6
3. Question
Simplifyx√x- 1.
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Fractional Powers
B√aT=aTBProduct of Powers
am×an=am+nFractional Powers
(B√a)T=aTBUse Fractional Powers to simplify the expression.x12√271 = x1×x12 Next, use the Product of Powers to simplify the expression further.x1×x12 = x1+12 = x112 = x32 Convert the power into a fraction x32 -
Question 4 of 6
4. Question
Simplify16−12Write fractions as “a/b”- (1/4)
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Negative Power
a−n=1anFractional Powers
aTB=(B√a)TFirst, use Negative Powers to simplify the expression.16−12 = 11612 Next, simplify further using Fractional Powers.11612 = 1(2√16)1 = 1(4)1 2√16=4 = 14 41=4 14 -
Question 5 of 6
5. Question
Simplify4−32Write fractions as “a/b”- (1/8)
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Negative Power
a−n=1anFractional Powers
aTB=(B√a)TFirst, use Negative Powers to simplify the expression.4−32 = 1432 Next, simplify further using Fractional Powers.1432 = 1(2√4)3 = 1(2)3 2√4=2 = 18 23=8 18 -
Question 6 of 6
6. Question
Simplify8−43Write fractions as “a/b”- (1/16)
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Negative Power
a−n=1anFractional Powers
aTB=(B√a)TFirst, use Negative Powers to simplify the expression.8−43 = 1843 Next, simplify further using Fractional Powers.1843 = 1(3√8)4 = 1(2)4 3√8=2 = 116 24=16 116
Quizzes
- Index Notation 1
- Index Notation 2
- Index Notation 3
- Multiply Indices 1
- Multiply Indices 2
- Multiply Indices 3
- Multiply Indices 4
- Divide Indices 1
- Divide Indices 2
- Powers of a Power 1
- Powers of a Power 2
- Powers of a Power 3
- Powers of a Power 4
- Zero Powers 1
- Zero Powers 2
- Negative Indices 1
- Negative Indices 2
- Negative Indices 3
- Fractional Indices 1
- Fractional Indices 2
- Fractional Indices 3
- Mixed Operations with Indices 1
- Mixed Operations with Indices 2