Question

Срочно дам 35балов!!!!!!​

Answer 1

1.

a)$c^{5} c^{4} =c^{5+4}=c^{9}$

б)$aa^{7} =a^{1+7} =a^{8}$

в)$x^{3} x^{3} =x^{3+3} =x^{6}$

г)$yy^{2} y^{3} =y^{1+2+3} =y^{6}$

д)$a^{6}a^{3} a^{7} =a^{6+3+7}=a^{16}$

е)$(-7)^{2}(-7)^{5}(-7)^{9}=(-7)^{2+5+9}=(-7)^{16}$

2.

а)$x^{8}:x^{4}=x^{8-4}=x^{4}$

б)$c^{6}:c=c^{6-1}=c^{5}$

в)$(-15)^{16}:(-15)^{8}=(-15)^{16-8}=(-15)^{8}$

г)$(0,1)^{20}:(0,1)^{6}=(0,1)^{20-6}=(0,1)^{14}$

3.

а)$y^{2}y^{8} :y=y^{2+8-1}=y^{9}$

б)$x^{5}:x^{2}:x^{2} =x^{5-2-2}=x^{1}=x$

в)$a^{15}:a^{5} a^{2} =a^{15-5+2}=a^{12}$

4.

а)$(ab)^{9}=a^{9}b^{9}$

б)$(xyz)^{7}=x^{7}y^{7}z^{7}$

в)$(2ac)^4=2^4a^4c^4=16a^4c^4$

г)$(-3xy)^{3}=(-3)^3x^3y^3=-27x^3y^3$

5.

а)$(x^5)^2=x^{5*2}=x^{10}$

б)$(x^4)^3=x^{4*3}=x^{12}$

в)$(x^{10})^{10}=x^{10*10}=x^{100}$

г)$(x^m)^2=x^{m*2}=x^{2m}$

6.

а)$(a^{5})^2a^{5}=a^{5*2+5}=a^{15}$

б)$(c^{2}c)^3=c^{(2+1)*3}=c^{9}$

в)$y^{12}:(y^{3})^2=y^{12-(3*2)}=y^{6}$

г)$(yy^{2})^3:(y^{2}y)^2=y^{(1+2)*3-(2+1)*2}=y^{9-6}=y^{3}$

7.

а)$((x^{2})^3)^4=(x^{2*3})^4=(x^6)^4=x^{6*4}=x^{24}$

б)$((x^{5})^9)^3=(x^{5*9})^3=(x^{45})^3=x^{45*3}=x^{135}$