Question

please answer fast with step by step explanation ​

Answer 1

Question :-

(3/7)^4 x (3/7)^5 = (3/7)^2m + 1

(3/7)^(4+5) = (3/7)^2m + 1

Here the bases , which are 3/7 are in multiply so because the bases are same their power/exponent got added

(3/7)^9 = (3/7)^2m + 1

Here , the bases of LHS and RHS are same , hence We can evaluate power/exponent , that is

we have :-

9 = 2m + 1

9 - 1 = 2m

8 = 2m

8/2 = m

m = 4

So , m = 4

Hope it helped you...

Answer 2

Answer: n =4

Step-by-step explanation:

When the co efffecient are equal there power is added .

Therefore,(3/7)^4 * (3/7)^5 = (3/7)^2n+1

(3/7)^4+5 =(3/7)^2n+1

(3/7)^9 = (3/7)^2n+1

Powers=> 9=2n+1

9-1=2n

8=2n

n= 4 ans.

Hope this helps

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