Question

find the value of n if (2 by 9)^2*(2 by 9)^6=(2 by 9 )^ 2n​

Answer 1

Answer:

(

9

2

)

3

×(

9

2

)

6

=(

9

2

)

2m−1

⇒(

9

2

)

3+6

=(

9

2

)

2m−1

Since bases are same, we can equate the powers,

⇒9=2m−1

⇒2m=10 or m=

2

10

=5

∴m=5

Step-by-step explanation:

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