Metamath Proof Explorer


Theorem 2exp4

Description: Two to the fourth power is 16. (Contributed by Mario Carneiro, 20-Apr-2015)

Ref Expression
Assertion 2exp4 ( 2 ↑ 4 ) = 1 6

Proof

Step Hyp Ref Expression
1 2nn0 ⊢ 2 ∈ ℕ0
2 2t2e4 ⊢ ( 2 · 2 ) = 4
3 sq2 ⊢ ( 2 ↑ 2 ) = 4
4 4t4e16 ⊢ ( 4 · 4 ) = 1 6
5 1 1 2 3 4 numexp2x ⊢ ( 2 ↑ 4 ) = 1 6