Question

alguém me ajuda por favor

transforme em uma unica potência

A) a.a.a.a =

B) c.c.c.c.c.c =

C) 2.2.100.2 =

D) 3.3.3.3.3.3.3.3.3. =

​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\sf De~\!\!finic_{\!\!,}\tilde ao\,de\,pot\hat enciac_{\!\!,}\tilde ao}\\\sf a^n=\underbrace{\sf a\cdot a\cdot a\cdot\dotsc a}_{n\,fatores}\\\sf traduzindo\,potenciac_{\!\!,}\tilde ao\,\acute e\,multiplicac_{\!\!,}\tilde ao\\\sf de\,elementos\,iguais.\end{array}}$

$\Large\boxed{\begin{array}{l}\underline{\bf Elementos\,da\,potenciac_{\!\!,}\tilde ao}\\\sf 2^3=8\begin{cases}\sf 2\longrightarrow \acute e\,a\,base\\\sf 3\longrightarrow \acute e\,o\,expoente\\\sf 8\longrightarrow \acute e\,a\,pot\hat encia\end{cases}\\\sf o\,expoente\,diz\,quantas\,vezes\,a\,base\\\sf ir\acute a\,se\,repetir\,e\,se\,multiplicar\\\sf 2^3=2\times2\times2=8\end{array}}$

$\large\boxed{\begin{array}{l}\rm A)~\sf a\cdot a\cdot a\cdot a=a^4\\\rm B)~\sf c\cdot c\cdot c\cdot c\cdot c\cdot c=c^6\\\rm C)~\sf 2\cdot2\cdot100\cdot2=2\cdot2\cdot2\cdot5\cdot2\cdot5\cdot2\\\sf 2\cdot2\cdot100\cdot2=2^5\cdot5^2\\\rm D)~\sf 3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3\cdot3=3^9\end{array}}$