Question

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

Answer 1

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

Answer 2

$\dfrac{a^4b^{-3}}{ab^{-2}}$

$= {a^{4-1}b^{-3+2}}$

$= {a^{3}b^{-1}}$

$= \dfrac{a^3}{b}$