a^n*b^n=(a*b)^n
[tex] {a}^{n} \times {b}^{n} = {(ab)}^{n} [/tex]
[tex]( \frac{9}{13})^{3} \times ( \frac{13}{3} )^{3} = ( \frac{9}{13} \times \frac{13}{3} )^{3} = ( \frac{9}{3} )^{3} = {3}^{3} = 27[/tex]
b)
[tex](16 \times \frac{625}{10000} ) ^{5} = (16 \times \frac{1}{16} ) ^{5} = {1}^{5} = 1[/tex]
c)
[tex](0.25 \times 4)^{4} =( \frac{25}{100} \times 4) ^{4} = (\frac{25 \times 4}{100} ) ^{4} = \frac{100}{100} ^{4} = 1^{4} = 1[/tex]
d)
[tex]( \frac{12}{100} \times \frac{8 \times 3 + 1}{3} ) ^{149} = ( \frac{12}{100} \times \frac{25}{3} )^{149} = (\frac{300}{300} ) ^{149} = {1}^{149} = 1[/tex]
Dacă nu ai înțeles ceva, spune mi
