[tex] \frac{2 ^{-21} }{4 ^{-5} *4 ^{-6} } = \frac{2 ^{-21} }{4 ^{-11} } = \frac{2 ^{-21} }{(2 ^{2}) ^{-11} } } = \frac{2^ ^{-21} }{2^{-22}} = 2[/tex]
[tex] \frac{3 ^{-10}* 9 ^{8} }{(-3)^{2}} = \frac{3 ^{-10} *(3 ^{2} ) ^{8} }{9} = \frac{3^{-10}*3^{16}}{3^{2}}= \frac{3^{6}}{3^{2}} = 3^{4} = 81[/tex]
[tex] \frac{4^{-2} * 8^{-6} }{2^{-22}} = \frac{(2^2)^{-2} * (2^3)^{-6}}{2^{-22}} = \frac{2^{-4} * 2^{-18}}{2^{-22}} = \frac{2^{-22}}{2^{-22}}=1[/tex]
[tex] \frac{5^{-5} * 25^{10}}{125^3}= \frac{5^{-5} * (5^2)^{10}}{(5^3)^3} = \frac{5^{-5} * 5^{20}}{5^9}= \frac{5^{15}}{5^9} = 5^6= 15625[/tex]
