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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​

Răspuns :

Răspuns:

a)

[tex] {5}^{13} \div {5}^{6} = {5}^{7} [/tex]

b)

[tex] {3}^{44} \div {3}^{25} = {3}^{19} [/tex]

c)

[tex] {2}^{72} \div {2}^{56} = {2}^{16} [/tex]

d)

[tex] {7}^{20} \div {7}^{12} = {7}^{8} [/tex]

e)

[tex] {2}^{21} \div {2}^{11} = {2}^{10} [/tex]

f)

[tex] {6}^{30} \div {6}^{19} = {6}^{11} [/tex]

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