Question

Plz help me with this

Answer 1

Answer:
`\bold{d)\quad (a^5c^2d^4)/(b^5)}`

Explanation:

If a term has a negative exponent, add the opposite to create an exponent of 0. You must also add that same value to the other side of the denominator to keep the expression balanced. Note: any term with an exponent of 0 is 1.

`(a^(3)\cdot b^(-2)\cdot c^(4)\cdot d^(1))/(a^(-2)\cdot b^(3)\cdot c^(2)\cdot d^(-3))\\\\\\=(a^(3+2)\cdot b^(-2+2)\cdot c^(4-2)\cdot d^(1+3))/(a^(-2+2)\cdot b^(3+2)\cdot c^(2-2)\cdot d^(-3+3))\\\\\\=\large\boxed{(a^(5)\cdot c^(2)\cdot d^(4))/(b^(5))}`