Drag the tiles to the correct boxes to complete the pairs.Using the properties of integer exponents, match each expression with the correct equivalent expression.

Answer:1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4} \implies 2^{-32}[/tex]2. [tex]2^4 . (2^2)^{-2} \implies 1[/tex]3. [tex](-2^{-4}).(2^2)^0 \implies -2^8[/tex]4. [tex](2^2).(2^3)^{-3} \implies 2^{-5}[/tex]Step-by-step explanation:1. [tex](-2^2)^{-6}[/tex] ÷ [tex](2^{-5})^{-4}[/tex] :[tex] = \frac{ ( - 2 ^ 2 ) ^ { - 6 } } { ( 2 ^ { - 5 } ) ^ { - 4 } } = \frac{2^{-12}}{2^{20}} = 2^{-12-20}=2^{-32}[/tex]2. [tex] 2 ^ 4 . ( 2 ^ 2 ) ^ { - 2 } [/tex] :[tex]= 2^4 \times \frac{1}{2^4} = 1[/tex]3. [tex](-2^{-4}).(2^2)^0[/tex] :[tex]= (-2^4)^2 \times 1 = -2^8[/tex]4. [tex](2^2).(2^3)^{-3}[/tex] :[tex]= 2^4 \times \frac{1}{2^9} =\frac{1}{2^5} =2^{-5}[/tex]