drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match each expression…

Explanation:

Step1: Use exponent - rule $\frac{x^m}{x^n}=x^{m - n}$

For $\frac{a^{-4}b^{-1}}{a^{3}b^{3}}$, we have $a^{-4-3}b^{-1 - 3}=a^{-7}b^{-4}=\frac{1}{a^{7}b^{4}}$.

Step2: For $\frac{a^{-3}b^{2}}{ab^{-4}}$

Using the rule $\frac{x^m}{x^n}=x^{m - n}$, we get $a^{-3 - 1}b^{2+4}=a^{-4}b^{6}=\frac{b^{6}}{a^{4}}$.

Step3: For $\frac{a^{2}b^{2}}{a^{-3}b^{-1}}$

Applying the rule $\frac{x^m}{x^n}=x^{m - n}$, we have $a^{2+3}b^{2 + 1}=a^{5}b^{3}$.

Step4: For $\frac{a^{4}b^{-1}}{a^{-1}b^{3}}$

Using the rule $\frac{x^m}{x^n}=x^{m - n}$, we get $a^{4+1}b^{-1 - 3}=a^{5}b^{-4}=\frac{a^{5}}{b^{4}}$.

Step5: For $\frac{a^{2}b^{-4}}{a^{-3}b^{3}}$

Applying the rule $\frac{x^m}{x^n}=x^{m - n}$, we have $a^{2+3}b^{-4 - 3}=a^{5}b^{-7}=\frac{a^{5}}{b^{7}}$.

Answer:

$\frac{a^{-4}b^{-1}}{a^{3}b^{3}}\leftrightarrow\frac{1}{a^{7}b^{4}}$ $\frac{a^{-3}b^{2}}{ab^{-4}}\leftrightarrow\frac{b^{6}}{a^{4}}$ $\frac{a^{2}b^{2}}{a^{-3}b^{-1}}\leftrightarrow a^{5}b^{3}$ $\frac{a^{4}b^{-1}}{a^{-1}b^{3}}\leftrightarrow\frac{a^{5}}{b^{4}}$ $\frac{a^{2}b^{-4}}{a^{-3}b^{3}}\leftrightarrow\frac{a^{5}}{b^{7}}$