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[tex]\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}[/tex]✍
❄☃ [tex]\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})[/tex] ☘☀
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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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Ⓐ[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\LARGE\gray{\boxed{\sf\blue{ \left(\dfrac{1}{2}\right)^{12} \div \left(\dfrac{1}{2}\right)^{9} }}}[/tex]
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[tex]\large\blue{\text{$\sf = \left(\dfrac{1}{2}\right)^{12-9} $}}[/tex]
[tex]\large\blue{\text{$\sf = \left(\dfrac{1}{2}\right)^{3} $}}[/tex]
[tex]\large\blue{\text{$\sf = \dfrac{1^3}{2^3} $}}[/tex]
[tex]\large\blue{\text{$\sf = \dfrac{1}{8} $}}[/tex]
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[tex]\Huge\green{\boxed{\rm~~~\red{ A)}~\blue{ \dfrac{1}{8} }~~~}}[/tex] ✅
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Ⓑ[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\LARGE\gray{\boxed{\sf\blue{ \left(\dfrac{1}{5}\right)^{15} \div \left(\dfrac{1}{5}\right)^{17} }}}[/tex]
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[tex]\large\blue{\text{$\sf = \left(\dfrac{1}{5}\right)^{15-7} $}}[/tex]
[tex]\large\blue{\text{$\sf = \left(\dfrac{1}{5}\right)^{-2} $}}[/tex]
[tex]\large\blue{\text{$\sf = \left(\dfrac{5}{1}\right)^{2} $}}[/tex]
[tex]\large\blue{\text{$\sf = 5^2 $}}[/tex]
[tex]\large\blue{\text{$\sf = 25 $}}[/tex]
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[tex]\Huge\green{\boxed{\rm~~~\red{ B)}~\blue{ 25 }~~~}}[/tex] ✅
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Ⓒ[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\LARGE\gray{\boxed{\sf\blue{(11^3)^{4} \div (11^2)^{5} }}}[/tex]
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[tex]\large\blue{\text{$\sf = 11^{3 \times 4} \div 11^{2 \times 5} $}}[/tex]
[tex]\large\blue{\text{$\sf = 11^{12} \div 11^{10} $}}[/tex]
[tex]\large\blue{\text{$\sf = 11^{12 - 10} $}}[/tex]
[tex]\large\blue{\text{$\sf = 11^{2} $}}[/tex]
[tex]\large\blue{\text{$\sf = 121 $}}[/tex]
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[tex]\Huge\green{\boxed{\rm~~~\red{ C)}~\blue{ 121 }~~~}}[/tex] ✅
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Ⓓ[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\LARGE\gray{\boxed{\sf\blue{ \dfrac{(7 \cdot 5)^{20}}{7^{19} \cdot (5^9)^2} }}}[/tex]
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[tex]\large\blue{\text{$\sf = \dfrac{(7 \cdot 5)^{20}}{7^{19} \cdot 5^{9 \times 2}} $}}[/tex]
[tex]\large\blue{\text{$\sf = \dfrac{(7 \cdot 5)^{20}}{7^{19} \cdot 5^{18}} $}}[/tex]
[tex]\large\blue{\text{$\sf = \dfrac{(7 \cdot 5)^{18} \cdot (7 \cdot 5)^2}{(7 \cdot 5)^{18} \cdot 7} $}}[/tex]
[tex]\large\blue{\text{$\sf = \dfrac{(7 \cdot 5)^{18} \cdot (7 \cdot 5)^2}{(7 \cdot 5)^{18} \cdot 7} $}}[/tex]
[tex]\large\blue{\text{$\sf = \dfrac{(7 \cdot 5)^{18}}{(7 \cdot 5)^{18}} \cdot \dfrac{(7 \cdot 5)^2}{7}$}}[/tex]
[tex]\large\blue{\text{$\sf = 1 \cdot 7 \cdot 5^2$}}[/tex]
[tex]\large\blue{\text{$\sf = 175 $}}[/tex]
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[tex]\Huge\green{\boxed{\rm~~~\red{ D)}~\blue{ 175 }~~~}}[/tex] ✅
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Ⓔ[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\LARGE\gray{\boxed{\sf\blue{ 0,3^{10} \cdot 0,3^{-5} \cdot 0,3^{7} \cdot 0,3^{3} }}}[/tex]
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[tex]\large\blue{\text{$\sf = 0,3^{10 - 5 + 7 + 3} $}}[/tex]
[tex]\large\blue{\text{$\sf = 0,3^{15} $}}[/tex]
[tex]\large\blue{\text{$\sf = 0,000000014348907 $}}[/tex]
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[tex]\large\green{\boxed{\rm~~~\red{ E)}~\blue{ 0,000000014348907 }~~~}}[/tex] ✅
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Ⓕ[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\LARGE\gray{\boxed{\sf\blue{ (7^2 \cdot 13^3)^4 \div (7^8 \cdot 13^{11}) }}}[/tex]
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[tex]\large\blue{\text{$\sf = 7^{2 \times 4} \cdot 13^{3 \times 4} \cdot (7^8 \cdot 13^{11})^{-1} $}}[/tex]
[tex]\large\blue{\text{$\sf = 7^8 \cdot 13^{12} \cdot 7^{8 \times (-1)} \cdot 13^{11 \times (-1)} $}}[/tex]
[tex]\large\blue{\text{$\sf = 7^8 \cdot 13^{12} \cdot 7^{-8} \cdot 13^{-11} $}}[/tex]
[tex]\large\blue{\text{$\sf = 7^{8 - 8} \cdot 13^{12 - 11}$}}[/tex]
[tex]\large\blue{\text{$\sf = 7^{0} \cdot 13^{1}$}}[/tex]
[tex]\large\blue{\text{$\sf = 1 \cdot 13$}}[/tex]
[tex]\large\blue{\text{$\sf = 13$}}[/tex]
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[tex]\Huge\green{\boxed{\rm~~~\red{ F)}~\blue{ 13 }~~~}}[/tex] ✅
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[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]
✈ Potenciação e Radiciação (https://brainly.com.br/tarefa/36120526)
[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\quad}}[/tex]✍
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[tex]\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]☁
☕ [tex]\bf\Large\blue{Bons\ estudos.}[/tex]
([tex]\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}[/tex]) ☄
[tex]\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX[/tex]✍
❄☃ [tex]\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})[/tex] ☘☀
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[tex]\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est."}[/tex]
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