Ответ:

ща напишу немного......

1. а) а^10=(a^2)^5

б)64y^12=(8y6)^2

в)1000(a^6)*(b^15)=(10(a^2)*(b^5))^3

г)81(с^8)*(y^12)=(3(c^2)*(y^3))^4

д)16(x^2)*(y^2)=(4xy)^2

e)8(a^6)*(b^3)=(2(a^2)*b)^3

2. a)(20^3)*(0.5^3)=(20*0.5)^3=10^3=1000

б)(0.25^2)*(100^2)=(0.25*100)^2=25^2=625

в)(0.4^2)*(250^2)=(0.4*250)^2=100^2=10000

г)(1.25^5)*(8^5)=(1.25*8)^5=10^5=100000

д)(1.7^4)*(10/17)^4=(1.7*10/17)^4=1

е)(2.1^6)*(10/21)^6=(2.1*10/21)^6=1

ж)4*(2^6)/2^8=(2^2)*(2^6)/(2^8)=(2^8)/(2^8)=1

з) (3^9)/(3^5)*9=(3^9)/(3^5)*(3^2)=(3^9)/(3^7)=3^2=9

и)125*(5^3)/(5^5)=(5^3)*(5^3)/(5^5)=(5^6)/(5^5)=5

к)(6^6)*(6^4)/((2^10)*(3^10))=(6^10)/(2*3)^10=(6^10)/(6^10)=1

л)(0.25^6)*(4^8)=(4^-6)*(4^8)=4^2=16

м)(27^2)*(-1/9)^3=(9^3)*(-9^-3)=-1

н)(7^9)*(49^3)/(7^14)=(7^9)*(7^6)/(7^14)=(7^15)/(7^14)=7

о)(4^3)*(2^5)/(8^3)=(2^6)*(2^5)/(2^9)=(2^11)/(2^9)=4