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Powers and indices: Fractional Indices
Silent Teacher Intelligent Practice Narration Your Turn = = π₯ 1 π¦ = Example
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Worked Example Your Turn = = = 4 2 16
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β 1 3 β 4 3 9 1 3 9 1 4 9 1 2 9 3 4 Evaluate 4 1 2 2 1 2 1 1 2 8 1 2 8 1 3 8 2 3 8 4 3
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β 1 3 β 4 3 9 1 3 9 1 4 9 1 2 9 3 4 Evaluate 3 3 9 4 1 2 2 1 2 1 1 2 8 1 2 8 1 3 8 2 3 8 4 3 Β±10 30 Β±2 Β± 200 9 Β± 3 Β±20 900 Β±3 Β±2 Β±3 3 81 Β± 2 3 40 Β± =Β± = Β±1 2 3 Β± 2 3 =Β± Β± 8 3 2 Β± 2 9 2 =Β± 4 16 81 Β± 16 Β± 2 5 16 81
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Evaluate 64 π₯ 64 π₯ 64 π₯ 64 (π₯ 2 ) 1 6 64 (π₯ ) 6 64 (π₯ ) β6 64 (π₯ 4 ) 1 12 ( 64 π₯ 4 ) 1 12 (64π₯ 4 π¦ 3 ) 1 12 64(π₯ π¦ ) 64 π₯ 64π₯ 1 3 64 π₯ 1 3 64 π₯ β 1 3 64π₯ β 1 3 64π₯ β 1 2 64 π₯ β 1 2 64 π₯ 1 2 64 π₯ 64 π₯
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Evaluate 64 π₯ 64 π₯ 64 π₯ 64 (π₯ 2 ) 1 6 64 (π₯ ) 6 64 (π₯ ) β6 64 (π₯ 4 ) 1 12 ( 64 π₯ 4 ) 1 12 (64π₯ 4 π¦ 3 ) 1 12 64(π₯ π¦ ) 64 π₯ 64π₯ 1 3 64 π₯ 1 3 64 π₯ β 1 3 64π₯ β 1 3 64π₯ β 1 2 64 π₯ β 1 2 64 π₯ 1 2 64 π₯ 64 π₯ 4π₯ Β±8 6 π₯ 4 3 π₯ Β±4 6 π₯ 64 3 π₯ Β±2 π₯ 64 3 π₯ Β±2 3 π₯ 1 4 3 π₯ 2 π₯ 2 Β± 1 8 π₯ 2 π₯ 2 Β± 1 π₯ 64 3 π₯ Β±64 π₯ 2 3 π₯ Β± π₯ 3 ππΒ± π₯ 3 2 3 π₯ 4 π¦ Β±8 π₯ 3 ππΒ±8 π₯ 3 64 3 π₯ 4 π¦
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