Question

Calculati :

a) 10^33 : 5^33 :2^2^5
b) 15^27 : 5^27 - 3^5^2

Answer 1

$a).10^3^3:5^3^3:2 ^{ 2^{5} } =(10:5)^3^3:2^3^2=2^3^3:2^3^2=2^{33-32}=2^1=2 \\ b).15^2^7:5^2^7-3 ^{ 5^{2} } =(15:5)^2^7-3^2^5=3^2^7-3^2^5=3^2^5(3^2-1)= \\ =3^2^5(9-1)=3^2^5 \cdot 8$