Question

Calcule:

ignora isso aqui e so pra dar 20 caracteres​

Answer 1

a)

$\green{ \huge{ \bold{800 \sqrt{5} }}}$

........

b)

$\green{ \bold{ \huge{8 \sqrt{2} {a}^{7} }}}$

..........

c)

$\green{ \bold{\huge{ {a}^{33}{b}^{5} \sqrt{b} }}}$

.......

d)

$\green{ \bold{\huge{3125 \sqrt[3]{5} }}}$

.......

e)

$\huge { \bold{ \green{ {a}^{16} {b}^{6} c \: \: \sqrt[3]{ {a}^{2} {b}^{2} {c}^{2} }}}}$

CALCULOS:

a)

${2}^{5} .( \sqrt{5} )^{5}$

$32. \sqrt{ {5}^{5} }$

$32. \sqrt{ {5}^{2}. {5}^{2}.5 }$

$32. \sqrt{ {5}^{ \cancel{2}} . {5}^{ \cancel{2}} .5}$

$32.5.5 \sqrt{5}$

$\bold {\huge{\red{800 \sqrt{5} }}}$

..........

..........

b)

${(a \sqrt{2} )}^{7}$

${a}^{7} \: . \: ( \sqrt{2} )^{7}$

${a}^{7} \: . \: \sqrt{ {2}^{7} }$

${a}^{7} \: . \: \sqrt{ {2}^{2} \: . \: {2}^{2} \: . \: {2}^{2} \: . \: 2}$

${a}^{7} \: . \: \sqrt{ {2}^{ \cancel{2}} \: . \: {2}^{ \cancel{2}} \: . \: {2}^{ \cancel{2}} \: . \: 2}$

${a}^{7} \: . \: 2 \: . \: 2 \: . \: 2 \sqrt{2}$

$8 {a}^{7} \sqrt{2}$

$\red{ \bold{ \huge{8 \sqrt{2} {a}^{7} }}}$

...........

............

.........

c)

$({a}^{3} \sqrt{b} )^{11}$

${( {a}^{3} })^{11} \: . \: ( \sqrt{b} )^{11}$

${a}^{33} \sqrt{ {b}^{11} }$

${a}^{33} \sqrt{ {b}^{2} . \: {b}^{2} \: . \: {b}^{2} \: . \: {b}^{2} \: . \: {b}^{2} \: . \: b }$

${a}^{33} \sqrt{ {b}^{ \cancel{2}} . \: {b}^{ \cancel{2}} \: . \: {b}^{ \cancel{2}} \: . \: {b}^{ \cancel{2}} \: . \: {b}^{ \cancel{2}} \: . \: b }$

$\red{ \bold{\huge{ {a}^{33}{b}^{5} \sqrt{b} }}}$

...........

...........

...........

d)

${(5 \sqrt[3]{5} })^{4}$

${5}^{4 } \: . \: ( \sqrt[3]{5} )^{4}$

$625 \: . \: \sqrt[3]{ {5}^{4} }$

$625 \: . \: \sqrt[3]{ {5}^{3}.5 }$

$625 \: . \: \sqrt[3]{ {5}^{ \cancel{3} \: . \: }5 }$

$625.5 \sqrt[3]{5}$

$\red{ \bold{\huge{3125 \sqrt[3]{5} }}}$

.........

e)

${( {a}^{3}b \sqrt[3]{abc}) }^{5}$

${( {a}^{3} })^{5} \: . \: {b}^{5} \: . \: (\sqrt[3]{abc} )^{5}$

${a}^{15} {b}^{5} . \sqrt[3]{ {(abc)}^{5} }$

${a}^{15} {b}^{5} \sqrt[3]{ {a}^{5} \: . \: {b}^{5} \: . \: {c}^{5} }$

$\small{{a}^{15} {b}^{5} . \sqrt[3]{ {a}^{3} \: \: . \: {a}^{2} \: . \: {b}^{3} \: . \: {b}^{2} \: . \: {c}^{3} \: . \: {c}^{2} } }$

$\small{{a}^{15} {b}^{5} . \sqrt[3]{ {a}^{ \cancel{3}} \: . \: \: {a}^{2} \: . \: {b}^{ \cancel{3}} \: . \: {b}^{2} \: . \: {c}^{ \cancel{3}} \: . \: {c}^{ 2} } }$

${a}^{15} {b}^{5} \: . \: a \: . \: b \: \: . \: c \: \: \: \sqrt[3]{ {a}^{2} \: . \: {b}^{2} \: . \: {c}^{2} }$

${a}^{15 + 1 } \: . \: \: {b}^{5 + 1 } \: \: . \: \: c \: \sqrt[3]{ {a}^{2} {b}^{2} {c}^{2} }$

$\huge { \bold{ \red{ {a}^{16} {b}^{6} c \: \: \sqrt[3]{ {a}^{2} {b}^{2} {c}^{2} }}}}$

qualquer duvida chame nos comentarioa