Question

Solve step by step fast

Answer 1

Answer:

1. (-1/3)^4÷(-1/3)^8×(-1/3)^5

=(-1/3)^(4+5-8)

=(-1/3)^(9-8)

=(-1/3)^1

=-1/3

2.x^(3n+3)x^(3n+1)/(x^2)^2=(x^6)^4÷(x^3)^2

=> x^(3n+3+3n+1)/x^4=x^24÷x^6

=> x^(6n+4-4)=x^(24-6)

=> x^6n=x^18

=> 6n=18

=> n=18/6

=> n=3

3.(a^x/a^y)^(x+y)×(a^y/a^z)^(y+z)×(a^z/a^x)^(z+x)

=a^(x-y)(x+y)×a^(y-z)(y+z)×a^(z-x)(z+x)

=a^(x^2-y^2)×a^(y^2-z^2)×a^(z^2-x^2)

=a^(x^2-y^2+y^2-z^2+z^2-x^2)

=a^0

=1

=R.H.S