Question

a and b are two positive integers such than Ab×Ba=800.find a and b​

Answer 1

Answer:

a’ and ‘b’ are two positive integers such that a b× ba = 1600. Find ‘a’ and

‘b’

Answer 2

Given,

a^b * b^a = 800

To find,

The value of a and b.

Solution,

The value of a and b is 2 and 5 or 5 and 2.

We can simply solve the mathematical problem by the following process.

We know that,

⇒ a^b * b^a = 800 (Equation 1)

Now,

⇒ Factorization of 800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

                                        = 2^5 x 5^2  (Equation 2)

On comparing equation 2 with equation 1;

⇒ (a, b) = (2, 5) or (5, 2)

Thus,

The value of a is 2 or 5.

The value of b is 5 or 2.