Ma puteti ajuta la ex 8?
8.Calculeaza rapid. Scrie rezultatulobtinut ca nr natural

Răspuns:

8 a) 2^9 ori 5^6

B) 2^4 ori 4^4 ori 5^9

C) 2^6 ori 3^2 ori 5^6

D) 2^10 ori 5^10 ori 10^10

E) 4^4 ori 2^5 ori 5^15 :10^13

F) 2^23 ori 5^7

2²·2³·2⁴·5²·5⁴ =

= 2²⁺³⁺⁴·5²⁺⁴

= 2⁹·5⁶

2⁴·2⁴·125·25³ =

= 2⁴⁺⁴·5³·5²⁾³

= 2⁸·5³·5⁶

= 2⁸·5⁹

2¹·2²·2³·3²·5⁶ =

=2¹⁺²⁺³·3²·5⁶

= 2⁶·3²·5⁶

2¹·2²·2³·2⁴·5¹·5²·5³·5⁴ : 10¹⁰ =

= 2¹⁺²⁺³⁺⁴·5¹⁺²⁺³⁺⁴ : 10¹⁰

= 2¹⁰·5¹⁰ : 10¹⁰

= (2·5)¹⁰ : 10¹⁰

= 10¹⁰ : 10¹⁰

= 1

64·16·32·125·125·625·625·5 : 10¹³ =

= 2⁶·2⁴·2⁵·5³·5³·5⁴·5⁴·5¹ : 10¹³

= 2⁶⁺⁴⁺⁵·5³⁺³⁺⁴⁺⁴⁺¹ : 10¹³

= 2¹⁵·5¹⁵ : 10¹³

= (2·5)¹⁵ : 10¹³

= 10¹⁵ : 10¹³

= 10¹⁵⁻¹³

= 10²

= 100

8·16·128 : 4 : 32 · 3125 : 625 =

= 2·16·4·5

= 32·20

= 640