Question

aplicando as propriedades da potenciação escreva cada expressão em uma única potência :








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Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Propriedades\,das\,pot\hat encias}\\\sf\!\bigodot 1~a^m\cdot a^n=a^{m+n}\\\sf\bigodot 2~a^m\div a^n=a^{m-n}\\\sf\bigodot 3~(a^m)^n=a^{m\cdot n}\\\sf\bigodot 4~(a\cdot b)^m=a^m\cdot b^m\\\sf\bigodot 5~\bigg(\dfrac{a}{b}\bigg)^m=\dfrac{a^m}{b^m},b\ne0\end{array}}$

$\Large\boxed{\begin{array}{l}\tt a )~\sf 9^6\times 9^2=9^{6+2}=9^8\\\tt b)~\sf(20^3)^2=20^{3\cdot 2}=20^6\\\tt c)~\sf10^8\div10^5=10^{8-5}=10^3\\\tt d)~\sf (8^{10})^3=8^{10\cdot3}=8^{30}\\\tt e)~\sf(0,7)^4\div(0,7)=(0,7)^{4-1}=(0,7)^3\\\tt f)~\sf[(2,5)^4]^5=(2,5)^{4\cdot 5}=(2,5)^{20}\end{array}}$