Question

Scrie ca putere:
a) 2⁹×2¹¹=
b) 5³×5¹²=
c) 7¹⁹: 7¹¹=
d) 3²³: 3¹²=
e) (2⁹)¹¹
f) (5³)⁷
g) 2⁹×3⁹=
h) 7¹²×2¹²=
i) 12⁹×4⁹=
j) 24¹¹×8¹¹=​

Answer 1

a)

$2 ^{9} \times 2 ^{11} = 2 ^{9 + 11} = 2 ^{20}$

b)

$5 ^{3} \times 5 ^{12} = 5 ^{3 + 12} = {5}^{15}$

c)

${7}^{19} \div {7}^{11} = {7}^{19 - 11} = {7}^{8}$

d)

${3}^{23} \div {3}^{12} = {3}^{23 - 12} = {3}^{11}$

e)

$({2}^{9} )^{11} = {2}^{9 \times 11} = {2}^{99}$

f)

$({5}^{3})^{7} = {5}^{3\times 7} = {5}^{21}$

g)

${2}^{9} \times {3}^{9} = {(2 \times 3)}^{9} = {6}^{9}$

h)

${7}^{12} \times {2}^{12} = ( {7 \times 2)}^{12} = {14}^{12}$

i)

${12}^{9} \times {4}^{9} = ({12 \times 4) }^{9} = {48}^{9}$

j)

${24}^{11} \times {8}^{11} = ( {24\times 8)}^{11} = {192}^{11}$