Question

Sa se efectueze: 2 la puterea 5 x 2 la puterea 4 x 2 la puterea 9 și 2
b)3 la puterea 4 x 3 la puterea 6 x 3 la puterea 0 și 3 la puterea 11
C)5 la puterea 4 x 5 la puterea 3 x 5 la puterea 5 x 5 la puterea 11
d) 7 la puterea 11 : 7 la puterea 9
5) 25 la puterea 200 : 25 la puterea 175
6) 10 la puterea 100 : 10 la puterea 100
7) 37 la puterea 95 : 32 la puterea 42
DAU COROANA VA ROG RAPID​

Answer 1

Raspuns:

a)

$2 ^{5} \times 2 ^{4} \times 2 ^{9} \times 2 ^{1} = 2 ^{5 + 4 + 9 + 1} = 2 ^{19}$

b)

$3^{4} \times 3 ^{6} \times 1 \times 3 ^{11} = 3 ^{21}$

c)

$5 ^{4 + 3 + 5 + 11} = 5 ^{23}$

d)

$7 ^{11 - 9} = 7 ^{2}$

5)

$25 ^{200 - 175} = 25 ^{25}$

6)

$10 ^{100} \div 10 ^{100} = 1$

7)

$\frac{37^{95} }{32 {}^{42} }$

Answer 2

a) 2⁵ • 2⁴ • (2⁹)² = 2⁵+⁴+⁹•² = 2²⁷

b) 3⁴ • 3⁶ • 3⁰ • 3¹¹ = 3⁴+⁶+⁰+¹¹ = 3²¹

c) 5⁴ • 5³ • 5⁵ • 5¹¹ = 5⁴+³+⁵+¹¹ = 5²³

d) 7¹¹ : 7⁹ = 7¹¹-⁹ = 7² = 14

e) 25²⁰⁰ : 25¹⁷⁵ = 25²⁰⁰-¹⁷⁵ = 25²⁵

f) 10¹⁰⁰ : 10¹⁰⁰ = 10¹⁰⁰-¹⁰⁰ = 10⁰ = 1

Succes!