Question

evaluate the following please answer please​

Answer 1

Given :

$\sf \: \dfrac{( { {11}^{ - 11}) }^{0} \times \: ( { {11}^{4} )}^{3} \times( { {11}^{ - 3}) }^{2} }{1331}$

To find :

Value of above equation

Identity used :

$\sf \bullet \: {( {a}^{m}) }^{n} = {a}^{mn}$

$\sf \bullet \: {a}^{m} \times {a}^{n} \: = \: {a}^{(m + n)}$

$\sf \bullet \: \dfrac{ {a}^{m} }{ {a}^{n} } \: = \: {a}^{(m - n)}$

$\sf \bullet \: {a}^{0} = 1$

Solution :

$\sf \implies \: \dfrac{( { {11}^{ - 11}) }^{0} \times \: ( { {11}^{4} )}^{3} \times( { {11}^{ - 3}) }^{2} }{1331}$

$\sf \implies \: \dfrac{( {11}^{ (- 11 \times 0)}) \times \: ( {11}^{(4 \times 3)} ) \times( { {11}^{ (- 3 \times 2)}) } }{1331}$

$\sf \implies \: \dfrac{( {11}^{ ( 0)}) \times \: ( {11}^{(12)} ) \times( { {11}^{ (-6)}) } }{1331}$

$\sf \implies \: \dfrac{1 \times \: ( {11}^{( \: 12 + ( - 6) \: )} ) }{11 \times 11 \times 11}$

$\sf \implies \: \dfrac{{11}^{(12 - 6)} }{ {11}^{3} }$

$\sf \implies \: \dfrac{{11}^{6} }{ {11}^{3} }$

$\sf \implies \: {11}^{(6 - 3)}$

$\sf \implies \: {11}^{3}$

$\sf \implies \: \bold{1331}$

ANSWER : 1331