Question

Perform the indicated operations

Answer 1

16x^3y÷27z^3

Explanation:

(2×8×14×x^2×x^2×x^2×y×y^2×y)÷(6×7×9×y^3×z×z^3×x^3×y)

(16×x^3×y)÷(27×z^2)

Answer 2

Explanation:

`(a^(m))/(a^(n))=a^(m-n) , m>n\\\\(a^(m))/(a^(n))=(1)/(a^(n-m)), n>m\\\\a^(0)=1\\a^(m)*a^(n)=a^(m+n)`

`(2x^(2)y)/(6y^(3)z)*(8x^(2)y^(2)z^(2))/(7^(3))` ÷
`(9x)/(14x^(2)y)\\`

`=(2x^(2)y)/(6y^(3)z)*(8x^(2)y^(2)z^(2))/(7z^(3))*(14x^(2)y)/(9x)\\\\\=(8*2x^((2+2+2-1))*y^((1+2+1-3)))/(3*9z^((1+3-2)))\\\\=(16x^(5)y)/(27z^(2))`

`=(8*2x^((2+2+2-1))*y^((1+2+1-3)))/(3*9z^(1+3-2))\\\\=(16x^(5)y)/(27z^(2))`