Question

Escreva na forma de uma única potência.ultilize as propriedades das potências:


a) 2 ⁶ . 2 ²


b) 5 ⁶ : 5 ²


c) 3-⁵ . 3- ²


d) (5.7)³


e) 2 ⁸ . 2-²


f)8 ² : 8 ⁵


g)7 ² :7- ⁴


h)(4-1)- ⁴


I) 6 ¹² .6- ⁸


J) 6 ⁷
-----
6 ⁴



K) ( 6-1) ⁴



l) (2 ² )⁰

Answer 1

Resposta:

$a)~~2^6:2^2=2^{6-2}=2^4\\ \\ b)~~5^6:5^2=5^{6-2}=5^4\\ \\ c)~~3^{-5}\times3^{-2}=3^{-5-3}=3^{-8}\\ \\ d)~~(5.7)^3=5^3.7^3\\ \\ e)~~2^8\times2^{-2}=2^{8-2}=2^6\\ \\ f)~~8^2:8^5=8^{2-5}=8^{-3}\\ \\ g)~~7^2:7^{-4}=7^{2-(-4)}=7^{2+4}=7^6\\ \\ h)~~(4^{-1})^{-4}=4^{-1.(-4)}=4^4\\ \\ i)~~6^{12}\times6^{-8}=6^{12-8}=6^4\\ \\ j)~~{6^7\over6^4}=6^7:6^4=6^{7-4}=6^3\\ \\ k)~~(6^{-1})^4=6^{-4}\\ \\ l)~~(2^2)^0=2^{2.0}=2^0=1$

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corrigindo a letra c

$3^{-5}\times3^{-2}=3^{-5-2}=3^{-7}$