Question

If 27^27+27^27+27^27=3^k What is k?

Answer 1

Answer:

$\large{\boxed{k=82}}$

Step-by-step explanation:

$27^{27}+27^{27}+27^{27}=3^k$

$3 \cdot 27^{27}=3^k$

$3 \cdot (3^3)^{27}=3^k$

$3 \cdot 3^{81}=3^k$

$3^{82}=3^k \implies k=82$