NCERT Class 9 Solutions: Number Systems (Chapter 1) Exercise 1.6

Q-1 Find:

  1. 6412

  2. 3215

  3. 12513

Solution:

How to raise the fraction to a power

Powers in Fractions

How to raise the fraction to a power

Meaning of powers as fractions and negative powers

Powers as Fractions and Negative Powers

Meaning of powers as fractions and negative powers

  1. 6412=(82)12

    =82×12

    =81

    =8

  2. 3215=(25)15

    =25×15

    =21

    =2

  3. 12513=(53)13

    =53×13

    =51

    =5

Q-2 Find:

  1. 932

  2. 3225

  3. 1634

  4. 12513

Solution:

Taking power of power with an example

Expanding Power to Power

Taking power of power with an example

  1. 932=(32)32

    =32×32

    =33

    =27

  2. 3225=(25)25

    =25×25

    =22

    =4

  3. 1634=(24)34

    =24×34

    =23

    =8

  4. 12513=1(125)13

    =1(53)13

    =15

Q-3 Find:

  1. 223×215

  2. (133)7

  3. 11121114

  4. 712×812

Solution:

  1. 223×215=2(23+15)

    =210+315

    =21315

  2. (133)7=133×7

    =1321

    =321

  3. 11121114=111214

    =11214

    =1114

  4. 712×812=(7×8)12

    =5612

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