Question

vă rog ajutor dau coroana​

Answer 1

a)

$5 {}^{2} \times 2 {}^{2} = (5 \times 2) {}^{2} = 10 {}^{2}$

b)

$2 {}^{3} \times 7 {}^{3} = (2 \times 7) {}^{3} = 14 {}^{3}$

c)

$2 {}^{6} \times 5 {}^{6} \times 10 {}^{6} = (2 \times 5 \times 10) {}^{6} = 100 {}^{6}$

d)

$( \frac{2}{5} ) {}^{4} \times ( \frac{30}{7} ) {}^{4} = ( \frac{2}{5} \times \frac{30}{7} ) {}^{4} = \\ \\ = ( \frac{2}{1} \times \frac{6}{7} ) {}^{4} = ( \frac{12}{7} ) {}^{4}$

e)

$( \frac{8}{17} ) {}^{11} \times ( \frac{17}{12}) {}^{11}=(\frac{8}{17} \times \frac{17}{12}){}^{11}=$

$=( \frac{8}{1} \times \frac{1}{12} ) {}^{11} =( \frac{8}{12} {}^{(4} ) {}^{11} = ( \frac{2}{3} ){}^{11}$

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 =

• (-30/11 )¹⁸ = (30/11)¹⁸

• (-11/3)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