200k views
23 votes
If a = 2 and b = 3, then the value of (a^b + b^a)-1 is :​

2 Answers

11 votes

Answer:

16

Explanation:

Given

(
a^(b) +
b^(a) ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16

User David Jirman
by
3.5k points
8 votes

Answer:


16

Explanation:

Substituting
a=2 and
b=3 into
(a^(b)+b^(a))-1 gives us:


(a^(b)+b^(a))-1


=(2^(3) +3^(2))-1 (Substitute given values into expression)


=(8+9)-1 (Evaluate exponents)


=17-1 (Evaluate expression in parentheses)


=16 (Simplify)

Hope this helps!

User Yoshikage Kira
by
2.8k points