Question

Zadanie 27 str 37 Matematyka z plusem kl.2 gimn.

Oblicz :

a) 5⁵/10⁴

b)44⁴ /22³

c) 64²*36²/6³ *2⁷

d)4⁶*8⁶/32⁵

Błagam rozwiążcie

Dziekue bardzo za rozwiazanie,jeżeli to zrobicie :)

Answer 1

a)

5^5/10^4 = 5^5/(2x5)^4 = 5^5/(2^4 x 5^4) =5/2^4 =5/16 = 0,3125

b)

44^4/22^3 =(2x22)^4/22^3 =2^4 x 22^4/22^3 =2^4 x 22 =16 x 22 =352

c)

64^2 x 36^2/(6^3 x 2^7) =(64x36)^2/(6^3 x 2^7) =64^2 x 36^2/(6^3 x 2^7) =

=(2^6)^2 x (6^2)^2/(6^3 x 2^37)= 2^12 x 6^4/(2^7 x 6^3 )= 2^5 x 6 =

= 32 x 6 =192

d)

4^6 x 8^6/32^5 =(2x2)^6 x [(2)^3]^6/[(2)^5]^5 = 2^6 x 2^6 x 2^18/2^25=

=2^30/2^25 =2^5 =32

 

(^ - do potęgi)