Fractional Indices 3
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Question 1 of 5
1. Question
Simplify125−23125−23Write fractions as “a/b”- (1/25)
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Negative Power
a−n=1ana−n=1anFractional Powers
aTB=(B√a)TaTB=(B√a)TFirst, use Negative Powers to simplify the expression.125−23125−23 == 112523112523 Next, simplify further using Fractional Powers.112523112523 == 1(3√125)21(3√125)2 == 1(5)21(5)2 3√125=53√125=5 == 125125 52=2552=25 125125 -
Question 2 of 5
2. Question
Simplify[823]12[823]12- (2)
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Power of a Power
(am)n=am×n(am)n=am×nFractional Powers
aTB=(B√a)TaTB=(B√a)TFirst, use Power of a Power to simplify the expression.[823)12[823)12 == 823×12823×12 == 826826 = 813 Simplify Next, simplify further using Fractional Powers.813 = (3√8)1 = (2)1 3√8=2 = 2 21=2 2 -
Question 3 of 5
3. Question
Simplify(32x)25- 1.
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Power of a Power
(am)n=am×nFractional Powers
aTB=(B√a)TFirst, use Power of a Power to simplify the expression.(32x)25 = 3225×x25 Next, simplify further using Fractional Powers.3225×x25 = (5√32)2×x25 = (2)2×x25 5√32=2 = 4x25 22=4 4x25 -
Question 4 of 5
4. Question
Simplify(64a12)43-
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Power of a Power
(am)n=am×nFractional Powers
aTB=(B√a)TFirst, use Power of a Power to simplify the expression.(64a12)43 = 6443×a12×43 = 6443×a483 = 6443×a16 Simplify Next, simplify further using Fractional Powers.6443×a16 = (3√64)4×a16 = (4)4×a16 3√64=4 = 256a16 44=256 256a16 -
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Question 5 of 5
5. Question
Simplify(25w10)32-
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Power of a Power
(am)n=am×nFractional Powers
aTB=(B√a)TFirst, use Power of a Power to simplify the expression.(25w10)32 = 2532×w10×32 = 2532×w302 = 2532×w15 Simplify Next, simplify further using Fractional Powers.2532×w15 = (2√25)3×w15 = (5)3×w15 2√25=5 = 125w15 53=125 125w15 -
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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