Question

Simplify each expression. Use positive exponents.
A^4b^-3
ab^-2

Answer 1

`(a^4b^(-3))/(ab ^(-2))=(a^4)/(a^1)\cdot(b^(-3))/(b^(-2))=a^(4-1)\cdot b^(-3-(-2))=a^3\cdot b^(-3+2)=a^3\cdot b^(-1)=a^3\cdot(1)/(b)=\\\\\\=\boxed{(a^3)/(b)}`

Answer 2

`(a^4b^(-3))/(ab^(-2))`


`= {a^(4-1)b^(-3+2)}`


`= {a^(3)b^(-1)}`


`= (a^3)/(b)`