Question

if 343 to the power 2/n =49, find n​

Answer 1

Answer:

n = 3

Step-by-step explanation:

343^(2/n) = 49

343 = 7^3 and 49 = 7^2

7^3[2/n] = 7^2 ---------------------->   By identity (a^b)^c = a^(bc)

Equating exponents,

3(2/n) = 2

6/n = 2

n = 6/2

n = 3

Hope this helps! :)

Answer 2

343^(2/n)=49

343=7^3

49=7^2

7^3(2/n)=7^2

3(2/n)=2

6n=2

n=6/2

n=3