Question

alguem poderia ajudar, essa nao é tao dificil

Answer 1

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

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

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☺lá, Pedro, 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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Ⓐ$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}$✍

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$\LARGE\gray{\boxed{\sf\blue{ \left(\dfrac{1}{2}\right)^{12} \div \left(\dfrac{1}{2}\right)^{9} }}}$

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$\large\blue{\sf = \left(\dfrac{1}{2}\right)^{12-9} }$

$\large\blue{\sf = \left(\dfrac{1}{2}\right)^{3} }$

$\large\blue{\sf = \dfrac{1^3}{2^3} }$

$\large\blue{\sf = \dfrac{1}{8} }$

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$\Huge\green{\boxed{\rm~~~\red{ A)}~\blue{ \dfrac{1}{8} }~~~}}$ ✅

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

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$\LARGE\gray{\boxed{\sf\blue{ \left(\dfrac{1}{5}\right)^{15} \div \left(\dfrac{1}{5}\right)^{17} }}}$

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$\large\blue{\sf = \left(\dfrac{1}{5}\right)^{15-7} }$

$\large\blue{\sf = \left(\dfrac{1}{5}\right)^{-2} }$

$\large\blue{\sf = \left(\dfrac{5}{1}\right)^{2} }$

$\large\blue{\sf = 5^2 }$

$\large\blue{\sf = 25 }$

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$\Huge\green{\boxed{\rm~~~\red{ B)}~\blue{ 25 }~~~}}$ ✅

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

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$\LARGE\gray{\boxed{\sf\blue{(11^3)^{4} \div (11^2)^{5} }}}$

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$\large\blue{\sf = 11^{3 \times 4} \div 11^{2 \times 5} }$

$\large\blue{\sf = 11^{12} \div 11^{10} }$

$\large\blue{\sf = 11^{12 - 10} }$

$\large\blue{\sf = 11^{2} }$

$\large\blue{\sf = 121 }$

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$\Huge\green{\boxed{\rm~~~\red{ C)}~\blue{ 121 }~~~}}$ ✅

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

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$\LARGE\gray{\boxed{\sf\blue{ \dfrac{(7 \cdot 5)^{20}}{7^{19} \cdot (5^9)^2} }}}$

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$\large\blue{\text{ \sf = \dfrac{(7 \cdot 5)^{20}}{7^{19} \cdot 5^{9 \times 2}} }}$

$\large\blue{\text{ \sf = \dfrac{(7 \cdot 5)^{20}}{7^{19} \cdot 5^{18}} }}$

$\large\blue{\text{ \sf = \dfrac{(7 \cdot 5)^{18} \cdot (7 \cdot 5)^2}{(7 \cdot 5)^{18} \cdot 7} }}$

$\large\blue{\text{ \sf = \dfrac{(7 \cdot 5)^{18} \cdot (7 \cdot 5)^2}{(7 \cdot 5)^{18} \cdot 7} }}$

$\large\blue{\text{ \sf = \dfrac{(7 \cdot 5)^{18}}{(7 \cdot 5)^{18}}  \cdot \dfrac{(7 \cdot 5)^2}{7} }}$

$\large\blue{\sf = 1 \cdot 7 \cdot 5^2}$

$\large\blue{\sf = 175 }$

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$\Huge\green{\boxed{\rm~~~\red{ D)}~\blue{ 175 }~~~}}$ ✅

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

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$\LARGE\gray{\boxed{\sf\blue{ 0,3^{10} \cdot 0,3^{-5} \cdot 0,3^{7} \cdot 0,3^{3} }}}$

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$\large\blue{\sf = 0,3^{10 - 5 + 7 + 3} }$

$\large\blue{\sf = 0,3^{15} }$

$\large\blue{\sf = 0,000000014348907 }$

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$\large\green{\boxed{\rm~~~\red{ E)}~\blue{ 0,000000014348907 }~~~}}$ ✅

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

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$\LARGE\gray{\boxed{\sf\blue{ (7^2 \cdot 13^3)^4 \div (7^8 \cdot 13^{11}) }}}$

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$\large\blue{\sf = 7^{2 \times 4} \cdot 13^{3 \times 4} \cdot (7^8 \cdot 13^{11})^{-1} }$

$\large\blue{\sf = 7^8 \cdot 13^{12} \cdot 7^{8 \times (-1)} \cdot 13^{11 \times (-1)} }$

$\large\blue{\sf = 7^8 \cdot 13^{12} \cdot 7^{-8} \cdot 13^{-11} }$

$\large\blue{\sf = 7^{8 - 8} \cdot 13^{12 - 11}}$

$\large\blue{\sf = 7^{0} \cdot 13^{1}}$

$\large\blue{\sf = 1 \cdot 13}$

$\large\blue{\sf = 13}$

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$\Huge\green{\boxed{\rm~~~\red{ F)}~\blue{ 13 }~~~}}$ ✅

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

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