97.1k views
3 votes
Plz help me with this

Plz help me with this-example-1

1 Answer

2 votes

Answer:
A)\quad (x^6\ z)/(y^(10))

Explanation:


.\quad ((x^(2)\cdot y^(-3)\cdot z^(4))^2)/(x^(-2)\cdot y^(4)\cdot z^(7))\\\\\\= (x^(2\cdot 2)\cdot y^(-3\cdot 2)\cdot z^(4\cdot 2))/(x^(-2)\cdot y^(4)\cdot z^(7))\\\\\\=(x^(4)\cdot y^(-6)\cdot z^(8))/(x^(-2)\cdot y^(4)\cdot z^(7))\\\\\\=(x^(4+2)\cdot y^(-6+6)\cdot z^(8-7))/(x^(-2+2)\cdot y^(4+6)\cdot z^(7-7))\\\\\\=\large\boxed{(x^6\ z)/(y^(10))}

User Noslac
by
6.9k points