Question

Aplicând regulile de calcul an
puteri invătate, calculeaza
a. 3^7.3^14=
b. 7^18: 7^12=
c. (13^11)^3=
d. 9^2.3^4:3=

e.(8.2:4)^3=
​

Answer 1

$a) \: {3}^{7} \times 3^{14} = 3^{7 + 14} = 3^{21}$

$b) \: {7}^{18} \div {7}^{12} = {7}^{18 - 12} = {7}^{6}$

$c) \: ( {13}^{11} )^{3} = {13}^{11 \times 3} = {13}^{33}$

$d) \: 9^{2} \times {3}^{4} \div 3 = {3}^{4} \times {3}^{4} \div 3 = {3}^{7}$

e. ( 8 • 2 ÷ 4 )^3 = ( 16 ÷ 4 )^3 = 4^3