3
(-2a^(m+1))^2*(3a^4)^2 = 36 a^5*a^15
испльзуем свойства
(a^m)^m = a^(m*n)
a^m*a^n = a^(m+n)
4*a^2(m+1) * 9*a^8 = 36 * a^(5+15)
36 a^(2(m+1)+8) = 36 a^20
a^(2(m+1)+8) = a^20
2(m+1)+8=20
2(m+1)=12
m+1=6
m=5
^ - степень
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Verified answer
3
(-2a^(m+1))^2*(3a^4)^2 = 36 a^5*a^15
испльзуем свойства
(a^m)^m = a^(m*n)
a^m*a^n = a^(m+n)
4*a^2(m+1) * 9*a^8 = 36 * a^(5+15)
36 a^(2(m+1)+8) = 36 a^20
a^(2(m+1)+8) = a^20
2(m+1)+8=20
2(m+1)=12
m+1=6
m=5
^ - степень