Question

express the following as rational number (4/5)^2​

Answer 1

Answer:

LETS take examples:---

=(

-1

2

)7

Page No 91:

Question 3:

Express each of the following as a rational number:

(i) (

2

3

)5

(ii) (

-8

5

)3

(iii) (

-13

11

)2

(iv) (

1

6

)3

(v) (

-1

2

)5

(vi) (

-3

2

)4

(vii) (

-4

7

)3

(viii) (−1)9

ANSWER:

(i) (

2

3

)5=

(2)5

(3)5

=

2×2×2×2×2

3×3×3×3×3

=

32

243

(ii) (

-8

5

)3=

(-8)3

(5)3

=

(-8)×(-8)×(-8)

5×5×5

=

-512

125

(iii) (

-13

11

)2=

(-13)2

(11)2

=

(-13)×(-13)

11×11

=

169

121

(iv) (

1

6

)3=

(1)3

(6)3

=

1×1×1

6×6×6

=

1

216

(v) (

-1

2

)5=

(-1)5

(2)5

=

(-1)×(-1)×(-1)×(-1)×(-1)

2×2×2×2×2

=

-1

32

(vi) (

-3

2

)4=

(-3)4

(2)4

=

(-3)×(-3)×(-3)×(-3)

2×2×2×2

=

81

16

(vii) (

-4

7

)3=

(-4)3

(7)3

=

(-4)×(-4)×(-4)

7×7×7

=

-64

343

(viii) (-1)9=-1 [Since (-1) an odd natural number = -1]