If a = -1, b = 2, then find the value of the following: a^b + b^a

Solution:

Given, a = -1 and b = 2.

We have to find the value of a^b + b^a

a^b + b^a = (-1)² + (2)⁻¹

(-1)² = -1 × -1 = 1

Using the law of exponents,

a⁻ⁿ = 1/aⁿ

(2)⁻¹ = 1/2

(-1)² + (2)⁻¹ = 1 + 1/2

= (2 + 1)/2

= 3/2

Therefore, a^b + b^a = 3/2

✦ Try This: If a = 2, b = -2, then find the value of the following: a^b + b^a

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 178(1)

If a = -1, b = 2, then find the value of the following: a^b + b^a

Summary:

If a = -1, b = 2, then the value of a^b + b^a is 3/2 using the law of exponents a⁻ⁿ = 1/aⁿ.

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