Question

solve :-
$[ \: \frac{ {6}^{2}( {6}^{7} - {6}^{8} ) }{ {6}^{6} } ]$
​

Answer 1

GIVEN :-

• 6²(6⁷ - 6⁸)/6².

TO FIND :-

• The value of 6²(6⁷ - 6⁸)/6².

SOLUTION :-

$\implies \sf \: \dfrac{6 ^{2} \bigg(6 ^{7} - 6 ^{8} \bigg) }{6 ^{6} }$

$\implies \sf \: \dfrac{6 ^{2} \times 6 ^{7} - 6 ^{2} \times 6 ^{8} }{6 ^{6} }$

$\implies \sf \: \dfrac{6 ^{2 + 7} - 6 ^{2 + 8} }{6 ^{6} }$

$\implies \sf \: \dfrac{6 ^{9} - 6 ^{10} }{6 ^{6} }$

$\implies \sf \: \dfrac{6 ^{9} }{6 ^{6} } - \dfrac{6 ^{10} }{6 ^{6} }$

$\implies \sf \:6 ^{3} - 6 ^{4}$

$\implies \sf \:216 - 1296$

$\implies \underline{ \boxed{\sf \:\dfrac{6 ^{2} \bigg(6 ^{7} - 6 ^{8} \bigg) }{6 ^{6} } = - 1080}}$

Answer 2

[6²(6³*6⁴ - 6⁴*6⁴)] / 6⁶

[6²{6⁴(6³ - 6⁴)}] / 6⁶

[6²*6⁴(6³ - 6⁴)] / 6⁶

[6⁶(6³ - 6⁴)] / 6⁶

6³ - 6⁴

216 - 1296

-1080