1: 13= 2²+3²
2: 16=5²-3²
3:
a)
[tex] {25}^{2} \times {5}^{5} \div 125 = \\ {5}^{4} \times {5}^{5} \div {5}^{3} = \\ {5}^{9} - {5}^{3} = {5}^{6} [/tex]
daca vrei sa mai scrii ca 5⁶=15625
b)
[tex]( {4}^{3} )^{2} \div {2}^{6} = \\ {4}^{3 \times 2} \div {2}^{6} = \\ {4}^{6} \div {2}^{6} = \\ {2}^{12} \div {2}^{6} = \\ {2}^{6} [/tex]
daca mai vrei sa mai scrii ca 2⁶=64
c)
[tex]64 \div {2}^{4} \times 3 = \\ {2}^{6} \div {2}^{4} \times 3 = \\ {2}^{2} \times 3 = \\ 4 \times 3 = 12[/tex]
d)
[tex](2 \times 5)^{3} \div {10}^{2} = \\ \frac{(2 \times 5)^{3} }{ {10}^{2} } = \\ \frac{8 \times 125}{100} = \frac{2 \times 125}{25} = \\ 2 \times 5 = 10[/tex]
e)
[tex] {7}^{15} \div ( {7}^{3} )^{5} + {5}^{0} = \\ {7}^{15} \div {7}^{15} + 1 = 1 + 1 = 2[/tex]
