Question

15. Scrie sub forma unei a) 2.4% b) 9³.3% c) 5 (252)³-125%; d) 270-812-94 00109020-10 000% f) 1 000³: 100%; g) 1285 : 2¹7; h) 2715: (910); i) 1250: 25%; j) 256²" : 810, k) 310-27081 1) 1000 1001000 m) (4) 4:64 n) (7²)5.7" 7:49% 0) 8²-830 (84) ​

Answer 1

Explicație pas cu pas:

a)

$2.4\% = \dfrac{24}{10} \cdot \dfrac{1}{100} = \dfrac{3}{125} = \dfrac{3}{ {5}^{3} }$

b)

${9}^{3} \cdot 3\% = {( {3}^{2} )}^{3} \cdot \dfrac{3}{100} = \dfrac{ {3}^{6} \cdot 3}{ {10}^{2} } = \dfrac{ {3}^{7}}{ {10}^{2} }$

f)

${1000}^{3} : 100\% = {1000}^{3} : \dfrac{100}{100} = {( {10}^{3} )}^{3} = {10}^{3 \cdot 3} = {10}^{9}$

g)

${128}^{5} : {2}^{17} = {( {2}^{7} )}^{5} : {2}^{17} = {2}^{35} : {2}^{17} = {2}^{35 - 17} = {2}^{18}$

h)

${27}^{15} : {9}^{10} = {( {3}^{3} )}^{15} : {( {3}^{2} )}^{10} = {3}^{3 \cdot 15} : {3}^{2 \cdot 10} = {3}^{45} : {3}^{20} = {3}^{45 - 20} = {3}^{25}$

(restul nu le înțeleg ...)