Question

efectuati operatiile,scriind rezultatele sub forma de putere:
a) (-3)la puterea 8 : (-3) puterea 5 :(-3) puterea 2
b)(+7) puterea 20 : (+7) puterea 7 : (+7) puterea 6
c) (-23) puterea 6 : (-23) puterea 0:(-23) puterea 4
d) (-4)puterea11 : (-4) puterea 11 : (-4) puterea 0
e) (-107)la puterea 9 : (-107) puterea 3 : (-107) la puterea4
f)x la puterea m: x la puterea 2 : x la puterea 3 , m mai mic sau egal decat 5.
Va rog din inimaaaaa

Answer 1

$a) {( - 3)}^{8} \div {( - 3)}^{5} \div {( - 3)}^{2}$

$= {( - 3)}^{8 - 5 - 2}$

$= {( - 3)}^{1}$

$= - 3$

$b) {( + 7)}^{20} \div {( + 7)}^{7} \div {( + 7)}^{6}$

$= {( + 7)}^{20 - 7 - 6}$

$= {( + 7)}^{7}$

$= {7}^{7}$

$c) {( - 23)}^{6} \div {( - 23)}^{0} \div {( - 23)}^{4}$

$= {( - 23)}^{6 - 0 - 4}$

$= {( - 23)}^{2}$

$= {23}^{2}$

$d) {( - 4)}^{11} \div {( - 4)}^{11} \div {( - 4)}^{0}$

$= {( - 4)}^{11 - 11 - 0}$

$= {( - 4)}^{0}$

$={4}^{0}$

$= 1$

$e) {( - 107)}^{9} \div {( - 107)}^{3} \div {( - 107)}^{4}$

$= {( - 107)}^{9 - 3 - 4}$

$= {( - 107)}^{2}$

$= {107}^{2}$

$f){x}^{m}\div{x}^{2}\div{x}^{3}$

$={x}^{m-2-3}$

$={x}^{m-5}$

Answer 2

a) (-3)^8 : (-3)^5 : (-3)^2 =
= (-3)^8 × (-3)^-5 × (-3)^-2 =
= (-3)^8-5-2 = (-3)^1 = -3

b) (+7)^20 : (+7)^7 : (+7)^6 =
= +7^20-7-6 = +7^7 = 7^7

c) (-23)^6 : (-23)^0 : (-23)^4 =
= 23^6 : 1 : 23^4 =
= 23^6 : 23^4 = 23^2

d) (-4)^11 :(-4)^11 : (-4)^0 =
= 1:1 = 1

e) (-107)^9 : (-107)^3 : (-107)^4 =
= (-107)^9-3-4 =
= (-107)^2 = 11449

f) x^m : x^2 : x^3 =
= x^(m-2-3) = x^(m-5)