Question

aratati ca numarul este patrat perfect 25 la puterea 15
aratati ca numarul este cub perfect 8 la puterea 11

Answer 1

$25^{15} = (5^2)^{15} = (5^{15})^2 - p.p. \\ 8^{11} = (2^3)^{11} = (2^{11})^3 - c.p.$

Answer 2

$p.p= x^{2} \\ 25^{15} =( 5^{2})^{15} =( 5^{15} )^{2} =p.p. \\ \\ c.p.= x^{3} \\ 8^{11} = (2^{3} )^{11} =( 2^{11} )^{3} =c.p.$