a)
[tex]5 {}^{2} \times 2 {}^{2} = (5 \times 2) {}^{2} = 10 {}^{2} [/tex]
b)
[tex]2 {}^{3} \times 7 {}^{3} = (2 \times 7) {}^{3} = 14 {}^{3} [/tex]
c)
[tex]2 {}^{6} \times 5 {}^{6} \times 10 {}^{6} = (2 \times 5 \times 10) {}^{6} = 100 {}^{6} \\ [/tex]
d)
[tex]( \frac{2}{5} ) {}^{4} \times ( \frac{30}{7} ) {}^{4} = ( \frac{2}{5} \times \frac{30}{7} ) {}^{4} = \\ \\ = ( \frac{2}{1} \times \frac{6}{7} ) {}^{4} = ( \frac{12}{7} ) {}^{4} [/tex]
e)
[tex]( \frac{8}{17} ) {}^{11} \times ( \frac{17}{12}) {}^{11}=(\frac{8}{17} \times \frac{17}{12}){}^{11}=[/tex]
[tex]=( \frac{8}{1} \times \frac{1}{12} ) {}^{11} =( \frac{8}{12} {}^{(4} ) {}^{11} = ( \frac{2}{3} ){}^{11} [/tex]
h)
1,5¹² • 2¹² • (-4)¹² = 1,5 ¹² • 2¹² • 4¹² =
= ( 1,5 • 2 • 4) ¹² =( 3 • 4 )¹² = 12¹²
(-4)¹² = 4¹²
minus la putere para devine plus!!!
g) (3/5)¹⁸ • (-30/11)¹⁸ • (-11/3)¹⁸ =
= ( 3/5 • 30/11 • 11/3 ) ¹⁸ =
=( 3•30•11 / 5•11•3 )¹⁸ =( 30•11/5•11 )¹⁸=
se simplifica 3 cu 3 și 11 cu 11
= (30/5)¹⁸ = 6¹⁸
AM FOLOSIT FORMULA:
a^x • b^x = (a•b)^x
" ^ " → semnul pentru ridicarea la putere
