Question

2. Utilize uma única potência para representar as expressões abaixo.

a) 5². 5³.5⁴ =

b) 3². 3⁰. 3⁷/ 27 =

c) 4. 8².2³/ 16. 2-¹ =

d) a². a⁴/ a³ =​

Answer 1

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$\large\green{\boxed{\rm~~~\red{ A)}~\gray{5^2 \cdot 5^3 \cdot 5^4}~\pink{=}~\blue{ 5^9 }~~~}}$

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$\large\green{\boxed{\rm~~~\red{ B)}~\gray{ \dfrac{3^2 \cdot 3^0 \cdot 3^7}{27}}~\pink{=}~\blue{ 3^6 }~~~}}$

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$\large\green{\boxed{\rm~~~\red{ C)}~\gray{ \dfrac{4 \cdot 8^2 \cdot 2^3}{16 \cdot 2^{-1}}}~\pink{=}~\blue{ 2^8 }~~~}}$

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$\large\green{\boxed{\rm~~~\red{ D)}~\gray{ \dfrac{a^2 \cdot a^4}{a^3}}~\pink{=}~\blue{ a^3 }~~~}}$

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$\bf\large\green{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad}}$

$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

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☺lá, Ekupor, como tens passado nestes tempos de quarentena⁉ E os estudos à distância, como vão⁉ Espero que bem❗ Acompanhe a resolução abaixo, feita através de algumas manipulações algébricas, e após o resultado você encontrará um link com mais informações sobre Potenciação e Radiciação que talvez te ajude com exercícios semelhantes no futuro. ✌

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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ 5^2 \cdot 5^3 \cdot 5^4 }}}$

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$\sf\blue{ = 5^{2 + 3 + 4}}$

$\sf\blue{ = 5^9}$

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$\large\green{\boxed{\rm~~~\red{ A)}~\gray{5^2 \cdot 5^3 \cdot 5^4}~\pink{=}~\blue{ 5^9 }~~~}}$ ✅

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Ⓑ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ \dfrac{3^2 \cdot 3^0 \cdot 3^7}{27} }}}$

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$\sf\blue{ = 3^2 \cdot 3^0 \cdot 3^7 \cdot 3^{-3}}$

$\sf\blue{ = 3^{2 + 0 + 7 - 3}}$

$\sf\blue{ = 3^6}$

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$\large\green{\boxed{\rm~~~\red{ B)}~\gray{ \dfrac{3^2 \cdot 3^0 \cdot 3^7}{27}}~\pink{=}~\blue{ 3^6 }~~~}}$ ✅

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Ⓒ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ \dfrac{4 \cdot 8^2 \cdot 2^3}{16 \cdot 2^{-1}} }}}$

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$\sf\blue{ = 2^2 \cdot 2^{3 \cdot 2} \cdot 2^3 \cdot 2^{-4} \cdot 2^{-(-1)}}$

$\sf\blue{ = 2^{2 + 6 + 3 - 4 + 1}}$

$\sf\blue{ = 2^8}$

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$\large\green{\boxed{\rm~~~\red{ C)}~\gray{ \dfrac{4 \cdot 8^2 \cdot 2^3}{16 \cdot 2^{-1}}}~\pink{=}~\blue{ 2^8 }~~~}}$ ✅

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Ⓓ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\large\gray{\boxed{\rm\blue{ \dfrac{a^2 \cdot a^4}{a^3} }}}$

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$\sf\blue{ = a^2 \cdot a^4 \cdot a^{-3}}$

$\sf\blue{ = a^{2 + 4 - 3}}$

$\sf\blue{ = a^3}$

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$\large\green{\boxed{\rm~~~\red{ D)}~\gray{ \dfrac{a^2 \cdot a^4}{a^3}}~\pink{=}~\blue{ a^3 }~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$

✈  Potenciação e Radiciação (https://brainly.com.br/tarefa/36120526)

$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}$