Question

Scrie rezultatul că o singură putere:
c)2^25•4^13•8^7;
d)9^2•27^3•3^7;
e)4^22÷2^40;
f)3^6•4^6÷12^4;
g)(5^10•25^2)÷5^40
h)125^6÷25^4•(5^3)^11

Answer 1

c)2^25•4^13•8^7=2^25•2^26•2^21=2^72

d)9^2•27^3•3^7=3^4•3^9•3^7=3^20

e)4^22÷2^40=2^44÷2^40=2^4

f)3^6•4^6÷12^4=12^6÷12^4=12^2

g)(5^10•25^2)÷5^40=(5^10•5^4)÷5^40=5^40÷5^40=1

h)125^6÷25^4•(5^3)^11 =5^18÷5^8•5^33 =5^10•5^33 =5^43

Answer 2

c)2^25•4^13•8^7=2^25x2^(2x13)x2^(3x7)=2^25x2^26x2^21=2^(25+26+21)=2^72
d)9^2•27^3•3^7=3^(2x2)x3^(3x3)x3^7=3^4x3^9x3^7=3^(4+9+7)=3^20
e)4^22÷2^40=2^(2x22):2^40=2^44:2^40=2^(44-40)=2^4
f)3^6•4^6÷12^4=12^6:12^4=12^2
g)(5^10•25^2)÷5^40=(5^10x5^4):5^40=5^15:5^40=5^(-25)??!!
h)125^6÷25^4•(5^3)^11=5^(3x6):5^(2x4)x5^33=5^18:5^8x5^33=5^10x5^33=5^43