Question

prove that if 9^m×3^2×(3-^m/2) ^-2-27n/3^3m×2^3=1/27 then m-n=1.​

Answer 1

Answer:

(3

m

.2)

3

9

n

.3

2

.3

n

−(27)

n

=3

−3

⇒

(3

m

.2)

3

9

n

.3

2

.3

n

−(27)

n

=3

−3

⇒

3

3m

.2

3

3

3n

.3

2

−3

3n

=

3

3

1

⇒

3

3

m×8

3

3n

(3

2

−1)

=

3

3

1

⇒

3

3

m×8

3

3n

×8

=

3

3

1

⇒

3

3(m−n)

1

=

3

3−1

1

⇒m−n=1 (proved)