Question

Calculați, folosind regulile de calcul cu puteri: a) (5x5¹²):(5²)³ b) (3⁴³x3):(⁵)⁵ c) (2⁷¹x2):(2⁷)⁸ d) (7x7¹⁹):(7³)⁴ e) (2⁷)³:(2x2¹⁰) f) (6⁵)⁶:(6x6¹⁸) repede pls​

Answer 1

Răspuns:

a)

${5}^{13} \div {5}^{6} = {5}^{7}$

b)

${3}^{44} \div {3}^{25} = {3}^{19}$

c)

${2}^{72} \div {2}^{56} = {2}^{16}$

d)

${7}^{20} \div {7}^{12} = {7}^{8}$

e)

${2}^{21} \div {2}^{11} = {2}^{10}$

f)

${6}^{30} \div {6}^{19} = {6}^{11}$

Answer 2

Răspuns:

a) (5x5¹²):(5²)³ =5¹⁺¹²:5²ˣ³=5¹³⁻⁶=5⁷

b) (3⁴³x3):(3⁵)⁵ =3⁴³⁺¹:3⁵ˣ⁵=3⁴⁴⁻²⁵=3¹⁹

c) (2⁷¹x2):(2⁷)⁸ =2⁷¹⁺¹:2⁷ˣ⁸=2⁷²⁻⁵⁶=2¹⁶

d) (7x7¹⁹):(7³)⁴ =7¹⁺¹⁹:7³ˣ⁴=7²⁰⁻¹²=7⁸

e) (2⁷)³:(2x2¹⁰) =2⁷ˣ³:2¹⁺¹⁰=2²¹⁻¹¹=2¹⁰

f) (6⁵)⁶:(6x6¹⁸)=6⁵ˣ⁶:6¹⁺¹⁸=6³⁰⁻¹⁹=6¹¹