Exercise 1.3 - Indices

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Vocabulary flashcards covering indices, negative powers, fractional forms, and index laws from Exercise 1.3.

Last updated 3:52 PM on 9/6/26
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36 Terms

1
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7−17^{-1} written as a fraction

17\frac{1}{7}

2
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7−27^{-2} written as a fraction

149\frac{1}{49}

3
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5−35^{-3} written as a fraction

1125\frac{1}{125}

4
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3−43^{-4} written as a fraction

181\frac{1}{81}

5
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15−215^{-2} written as a fraction

1225\frac{1}{225}

6
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20−220^{-2} written as a fraction

1400\frac{1}{400}

7
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14\frac{1}{4} written as a power of 44

4−14^{-1}

8
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164\frac{1}{64} written as a power of 44

4−34^{-3}

9
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11 written as a power of 44

404^0

10
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256256 written as a power of 44

444^4

11
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1256\frac{1}{256} written as a power of 44

4−44^{-4}

12
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16−116^{-1} written as a power of 44

4−24^{-2}

13
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0.20.2 written as a power of 55

5−15^{-1}

14
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2525 written as a power of 55

525^2

15
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0.040.04 written as a power of 55

5−25^{-2}

16
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125−1125^{-1} written as a power of 55

5−35^{-3}

17
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15015^0 written as a power of 55

505^0

18
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Value of x−3x^{-3} when x=2x = 2

18\frac{1}{8}

19
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Value of x−3x^{-3} when x=3x = 3

127\frac{1}{27}

20
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Value of x−3x^{-3} when x=5x = 5

1125\frac{1}{125}

21
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Value of x−3x^{-3} when x=10x = 10

11000\frac{1}{1000}

22
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123×12−112^3 \times 12^{-1} written as a power of 1212

12212^2

23
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124×12−512^4 \times 12^{-5} written as a power of 1212

12−112^{-1}

24
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12−1×12−212^{-1} \times 12^{-2} written as a power of 1212

12−312^{-3}

25
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12−4×12712^{-4} \times 12^7 written as a power of 1212

12312^3

26
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54×5−15^4 \times 5^{-1} written in index form

535^3

27
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4−3×4−34^{-3} \times 4^{-3} written in index form

4−64^{-6}

28
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8−6×88^{-6} \times 8 written in index form

8−58^{-5}

29
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155×15−515^5 \times 15^{-5} written in index form

15015^0

30
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5−6×5−65^{-6} \times 5^{-6} written in index form

5−125^{-12}

31
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75÷727^5 \div 7^2 written as a power of 77

737^3

32
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73÷747^3 \div 7^4 written as a power of 77

7−17^{-1}

33
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74÷7−27^4 \div 7^{-2} written as a power of 77

767^6

34
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7−4÷7−37^{-4} \div 7^{-3} written as a power of 77

7−17^{-1}

35
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Sum of 8.1×105+9.4×1058.1 \times 10^5 + 9.4 \times 10^5 in standard form

1.75×1061.75 \times 10^6

36
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Sum of 3.6×10−5+2.9×10−53.6 \times 10^{-5} + 2.9 \times 10^{-5} in standard form

6.5×10−56.5 \times 10^{-5}