Question : The value of $[(0.87)^2+(0.13)^2+(0.87)×(0.26)]^{2013}$ is:
Option 1: 0
Option 2: 2013
Option 3: 1
Option 4: –1
Answer (1)
26th Jan, 2024
Correct Answer: 1
Solution :
Given:
$[(0.87)^2+(0.13)^2+(0.87)×(0.26)]^{2013}$
= $[(0.87)^2+(0.13)^2+(0.87)×2×(0.13)]^{2013}$
= $(0.87+0.13)^{2\times 2013}$
= $(1)^{2\times 2013}$
= $1$
Hence, the correct answer is 1.
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