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If x = 2, y = 3, find x^x + y^–y. - Mathematics

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Question

If x = 2, y = 3, find xx + y–y.

Sum
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Solution

Given: x = 2, y = 3

Find: xx + y–y

Step-wise calculation:

1. Calculate (xx):

22 = 4

2. Calculate (y–y):

y–y = 3–3

y–y = `1/3^3`

y–y = `1/27`

3. Add the two results:

`x^x + y^-y = 4 + 1/27`

`x^x + y^-y = 108/27 + 1/27`

`x^x + y^-y = 109/27`

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Chapter 6: Indices/Exponents - Exercise 6B [Page 131]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 6 Indices/Exponents
Exercise 6B | Q 6. | Page 131
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