Question

How to solve:
3*9^(2n) = (3^(n +1))^3

Answer 1

3

Explanation:

3*9^(2n) = (3^(n +1))^3

= 3×9^0^3

= 3×9^0

= 3×1

= 3

Answer 2

3×9
n+1
−9×3
2n

​


=
3×3
2n+3
−(3
2
)
n+1

3×(3
2
)
n+1
−3
2
×3
2n

​


=
3
1+2n+3
−3
2n+2

3
1+2n+2
−3
2+2n

​


=
3
4+2n
−3
2n+2

3
3+2n
−3
2+2n

​


=
3
2n
(3
4
−3
2
)
3
2n
(3
3
−3
2
)
​


=
81−9
27−9
​


=
72
18
​


=
4
1
​