Question

Arătați că următoarele numere sunt pătrate perfecte:​

Answer 1

a.

${5}^{36 } = {5}^{18 \times 2 } = { {5}^{18} }^{2}$

b.

${7}^{100} = {7}^{50 \times 2} = { {7}^{50} }^{2}$

c.

${ {5}^{6} }^{7} = {5}^{6 \times 7} = {5}^{42} = { {5}^{21} }^{2}$

d.

${3}^{24} = { {3}^{12} }^{2}$

e.

${11}^{15} \div {11}^{13 } = {11}^{15 - 13} = {11}^{2}$

f.

${13}^{78} = {13}^{39 \times 2} = { {13}^{39} }^{2}$

g.

${19}^{25} \times {19}^{7} = {19}^{25 + 7} = {19}^{32} = {19}^{16 \times 2} = { {19}^{16} }^{2}$

h.

${2}^{72} = {2}^{36 \times 2} = { {2}^{36} }^{2}$

Orice nr la puterea a doua devine patrat perfect.