Question

The multiplicative inverse of
(1/2)^4÷(1/3)^4+(-1/2)^3 is ​

Answer 1

Solution :- given

=(

2

1

)

4

÷(

3

1

)

4

+(

3

−1

)

3

⇒

2

4

1

÷

3

4

1

+(

3

−1

)

3

⇒

2

4

1

×

1

3

4

+(

3

−1

)

3

⇒

2

4

3

4

−

3

3

1

⇒

16

81

−

27

1

⇒

432

2187−16

⇒

432

2171

∴ Multiplicative inverse is =

2171

432

(Ans)

Answer 2

=[1/2]^4 ÷ [1/3]^4+[-1/2]^3

=[1/2×3]^4 +[-1/8]

=[3/2]^4 -1/8

=81/16-1/8=81-2/16

=79/16 Answer