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Question
If x = –2, y = –3, find xx + yy.
Sum
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Solution
Given:
x = –2, y = –3
We need to find:
xx + yy
Step-wise calculation:
1. Calculate xx = (–2)–2:
`(-2)^-2 = 1/(-2)^2`
`(-2)^-2 = 1/4`
2. Calculate yy = (–3)–3:
`(-3)^-3 = 1/(-3)^3`
`(-3)^-3 = 1/(-27)`
`(-3)^-3 = - 1/27`
3. Add the two results:
`x^x + y^y = 1/4 + (-1/27)`
`x^x + y^y = 1/4 - 1/27`
4. Find the common denominator 4 × 27 = 108:
`27/108 - 4/108 = 23/108`
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