[ 30=10^prime 500=50^2 5000=10^3 ] matematica 1. Calcule as potincas [ ( a, )((3)/(4))^-2 =((4)/(3))^-2 ] [ ( B. )|(-5)/(4)|^-3 ] [ ( c) ) 10^-3 ] [ ( D. ) 2^-1 ] [ ( e, )(-6)^-2 ] [ ( f. )((1)/(9))^-2 ] 2. exería na forma de poténcia de Base e 10 [ ( a. ) (1)/(100) ] [ ( c. ) (1)/(1000000) ] [ ( e, ) 0,01 ] [ ( b. ) (1)/(10000) ] 1). 0,1 [ 0,001 ]

1. Calcule as potências:<br /><br />a) \(\left(\frac{3}{4}\right)^{-2} = \left(\frac{4}{3}\right)^{2} = \frac{16}{9}\)<br /><br />b) \(\left|\frac{-5}{4}\right|^{-3} = \left(\frac{5}{4}\right)^{-3} = \frac{1}{\left(\frac{5}{4}\right)^{3}} = \frac{1}{\frac{125}{64}} = \frac{64}{125}\)<br /><br />c) \(10^{-3} = \frac{1}{10^3} = \frac{1}{1000}\)<br /><br />d) \(2^{-1} = \frac{1}{2}\)<br /><br />e) \((-6)^{-2} = \frac{1}{(-6)^2} = \frac{1}{36}\)<br /><br />f) \(\left(\frac{1}{9}\right)^{-2} = 9^2 = 81\)<br /><br />2. Escreva na forma de potência de base e 10:<br /><br />a) \(\frac{1}{100} = 10^{-2}\)<br /><br />b) \(\frac{1}{10000} = 10^{-4}\)<br /><br />c) \(\frac{1}{1000000} = 10^{-6}\)<br /><br />e) \(0,01 = 10^{-2}\)<br /><br />f) \(0,10}\)<br /><br />g) \(0,001 = 10^{-3}\)