Question

how to simplify this algebra​

Answer 1

x^0 = 1 because anything to the power of 0 is equal to 1

Negative exponents mean that the base is on the wrong side of the fraction line

A is correct

Answer 2

Answer:

$\large\boxed{A.\ \dfrac{1}{x^2y^2}}$

Step-by-step explanation:

$\dfrac{x^0y^{-3}}{x^2y^{-1}}=\dfrac{1\cdot\dfrac{1}{y^3}}{x^2\cdot\frac{1}{y}}=1\cdot\dfrac{1}{y^3}\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}=\dfrac{1}{y^2x^2}$

$\text{Used}\\\\a^0=1\ \text{for all real numbers except 0}\\\\a^{-n}=\dfrac{1}{a^n}$