Question

Aplicando as propriedades da potenciação, simplifique: 7 a) ©**) (3) 3 b) c) 9@@ @-0) = d)​

Answer 1

Explicação passo a passo:

a

( 2/5)^4 * ( 2/5)³ : ( 2/5)^7

Na multiplicação de bases iguais CONSERVA A BASE e SOMA EXPOENTES e na DIVISÃO conserva a base e DIMINUI EXPOENTES

( 2/5)^4 + 3 =( 2/5)^7

( 2/5)^7 : ( 2/5)^7 = ( 2/5)^0 = 1 >>>>RESPOSTA

b

( 4/3)³ : ( 4/3)^6 * ( 4/3 )^7 =

( 4/3) ³ : ( 4/3)^6 = ( 4/3)^3 - 6 = ( 4/3)^-3

( 4/3)^-3 * ( 4/3)^7 = ( 4/3 )^-3 + 7 = (4/3)^4 >>>> resposta

c

( 5/3 )^-5 * ( 5/3)^-4 : ( 5/3 )² =

( 5/3)^-5 * ( 5/3)^-4 = ( 5/3)^-5 + ( -4 ) ou ( 5/3)^-5-4 = ( 5/3 )^-9 >>>>

( 5/3)^-9 : ( 5/3 )² = ( 5/3)^-9 - 2 = ( 5/3)^-11 >>>>>resposta

d

( 5/3 * 1/2)² =[ ( 5 * 1 )/ ( 3 * 2 )]² = ( 5/6)² = 5/6 * 5/6 = 25/36 >>>>>resposta