Simplify Explain Each step Write Very Neatly Simplify Expla

Simplify . Explain Each step. Write Very Neatly

Simplify. Explain Each step. x^4 y^3 z^2 + x^2 y z^4/x^2 y z (x^2 y^3)^4 (y^4)^0 z^-2/(xz^2)^3 y^-5

12) ( x^4y^3z^2 + x^2yz^4)/x^2yz

= (x^4y^3z^2/x^2yz) + ( x^2yz^4/x^2yz)

Use property : a^m/b^n = a^(m-n)

So, (x^4y^3z^2/x^2yz) + ( x^2yz^4/x^2yz) = x^2y^2z + z^3

13 ) (x^2y^3)^4(y^4)^0(z^-2)/(xz^2)^3y^-5

=x^(2*4)y^(3*4)(y^0)(z^-2)/(xz^2)^3y^-5

we know a^0 =1 ; (a^m)^n = a^(m*n) ; 1/a^m = a^-m

= x^8y^12z^-2/x^3z^6y^-5

= x^(8-3)y^(12+5)z^(-2+5)

= x^5y^17z^3