Based on the patterns, we can inductively deduce that the number which will complete the box is 27.
What is inductive reasoning?
Inductive reasoning refers to a process that involves drawing and arriving at a general conclusion (conjecture), especially by observing a pattern that's based on a sequence or specific instances.
In this scenario, we can inductively deduce the following pattern:
1 ⇒ 2⁰ = 1 1 ⇒ 3⁰ = 1
2 ⇒ 2¹ = 2 3 ⇒ 3¹ = 3
4 ⇒ 2² = 4 9 ⇒ 3² = 9
8 ⇒ 2³ = 8 x ⇒ 3³ = 27.
In conclusion, we can inductively deduce that the number which will complete the box is 27.
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