Question

(25)n x (31)n =
Plz answer me

Answer 1

Answer:

775^n

Step-by-step explanation:

a^n × b^n = (ab)^n

Using this

25^n × 31^n = 775^n

Answer 2

(25)n * (31)n = (1015)n

First Method :

→ (2n + 5 ) (3n + 1 ) = n³ + n + 5

→ 6n2 + 17n + 5 = n³ + n + 5

→ n³ - 6n2 - 16n = 0

→ n( n² - 6n - 16 )= 0

→ n = 0

Second Method :

n² - 6n - 16 = 0

Then,

→ n² - 6n - 16 = 0

→ ( n - 8 ) ( n + 2 ) = 0

→ n - 8 = 0

→ n = 8

Third Method :

n + 2 = 0

→ n = - 2 ( not admissible )

Therefore,

We can take only n = 8

→ ( 13 )8 * ( 52 )8 = ( 11 )10 * ( 42 )10

→ ( 462 )10

→ ( 716 )8

Hence,

→ The answer of the question is $\boxed{(716)8}$