[tex]2^{-5} = \dfrac{1}{2^5} = \dfrac{1}{32}[/tex]
[tex]3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{9}[/tex]
[tex]5^{-4} = \dfrac{1}{5^4} = \dfrac{1}{25^2} = \dfrac{1}{625}[/tex]
[tex](3^3)^{-2} = 3^{-6} = \dfrac{1}{3^6} = \dfrac{1}{9^3} = \dfrac{1}{729}[/tex]
[tex]\dfrac{1}{4^{-4}} = 4^4 = 16^2 = 256[/tex]
[tex]\dfrac{1}{2^{-5}} = 2^5 = 32[/tex]
[tex](5^{-3})^{-2}=5^6 = 15625 \quad[/tex]
needed the calculator for that one
[tex]\dfrac{4}{5^{-2}} = 4 \cdot 5^{2} = 4 \cdot 25 =100[/tex]
[tex]3^{6} \times 3^{-2} = 3^{6 - 2} = 3^4 = 9^2=81[/tex]
[tex]4^{-8} \times 4^5 = 4^{-3} = \dfrac{1}{4^3} = \dfrac{1}{64}[/tex]
