Question

If x = 4, y = 3, find x^y + y^x.

Answer 1

Given:

• x = 4
• y = 3 Find x^y + y^x

Step-wise calculation:

1. Compute (xy):

xy = x^y

xy = 4³

xy = 4 × 4 × 4

xy = 64

2. Compute (yx):

yx = y^x

yx = 3⁴

yx = 3 × 3 × 3 × 3

yx = 81

3. Add the two results:

xy + yx = 64 + 81

xy + yx = 145