Question

2*3=17, 3*4=145, 5*2=?

Answer 1

The value of 5 * 2 = 57.

Solution:

2 * 3 = 17

=> 2^3 + 3^2 = 8 + 9 = 17.

3 * 4 = 145

=> 3^4 + 4^3 = 81 + 64 = 145.

5 * 2 =?

Similarly;

=> 5^2 + 2^5 = 25 + 32 = 57....

Answer 2

2*3=17, 3*4=145, 5*2=57

Given: 2*3=17, 3*4=145

To Find: 5*2=?

Solution: For the result of 2 * 3 to be 17:

If we multiply 2 with the power of 3 and 3 with the power of 2 and add them we get:

$2^{3} + 3^{2} = 8 + 9\\2^{3} *+ 3^{2} = 17$

Similarly, for the result of 3 * 4 to be 145:

If we multiply 3 with the power of 4 and 4 with the power of 3 and add them we get:

$3^{4} + 4^{3} = 81 + 64\\3^{4} + 4^{3} = 145$

Therefore, we will perform the same operation on 5 * 2

Multiplying 5 with the power of 2 and 2 with the power of 5 and adding them we get:

$5^{2} + 2^{5} = 25 + 32\\5^{2} + 2^{5} = 57$

So, 5 * 2 = 57

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