Question

Solve this maths question​

Answer 1

$\mathbb \pink{SOLUTION:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\pink\bullet \: \: \small \tt{ {3}^{ - 5} \times {3}^{ 2} \div {3}^{ - 6} + ( {2}^{2} + 3) ^{2} + (\frac{2}{3})^{ - 1} + {2}^{ - 1} + (\frac{1}{19})^{ - 1} }$

$\pink\bullet \: \: \small \tt{ {3}^{ - 5} \times {3}^{ 2 - ( - 6)} + ( 4 + 3) ^{2} + \frac{3}{2} + \frac{1}{2} + \frac{19}{1} }$

$\pink\bullet \: \: \small \tt{ {3}^{ - 5} \times {3}^{ 8} + {4}^{2} + {3}^{2} + \frac{4}{2} + \frac{19}{1} }$

$\pink\bullet \: \: \small \tt{ {3}^{ - 5 + ( 8)} + 16 + 9 + \frac{ \cancel4}{ \cancel2} + \frac{19}{1} }$

$\pink\bullet \: \: \small \tt{ {3 ^{ 3} } + 16+ 9 + \frac{1}{2} + \frac{19}{1} }$

$\pink\bullet \: \: \small \tt{27 + 16+ 9 + \frac{1}{2} + \frac{19}{1} }$

$\pink\bullet \: \: \small \tt{ 27 + 16 + 9 + \frac{1}{2} + \frac{19}{1} }$

$\pink\bullet \: \: \tt{ \frac{27 \times 2 + 16 \times 2 + 9 \times 2 + 1 + 19 \times 2}{2} }$

$\pink\bullet \: \: \tt{ \frac{ 54+ 32 + 18 + 1 + 38}{2} }$

$\pink\bullet \: \: \tt{ \frac{ 143}{2} }$

$\pink\bullet \: \: \tt{ \cancel \frac{ 143}{2} }$

$\pink\bullet \: \small\tt{ 71.5 }$

Answer 2

Solution

$\begin{gathered}\\\\ \sf{~~~~~\mapsto ~~ {3}^{ -5 } \times {3}^{2} \div {3}^{ - 6} +{ ( {2}^{2} \times 3) }^{2} + { \bigg( \dfrac{2}{3} \bigg) }^{ - 1} + {2}^{ - 1} + { \bigg( \dfrac{1}{19} \bigg) }^{ - 1} }\end{gathered}$

$\sf{~~~~~\mapsto ~~ {3}^{ -5 + 2 -( - 6 )} +{ ( 4 \times 3) }^{2} + { \dfrac{3}{2} } + \dfrac{1}{2} + { 19 } }$

$\sf{ ~~~~~\mapsto ~~ {3}^{ -3 + 6 } +{ ( 12) }^{2} + { \dfrac{3}{2} } + \dfrac{1}{2} + { 19 } }$

$\sf{~~~~~\mapsto ~~ {3}^{ 3 } + 144 + { \dfrac{3}{2} } + \dfrac{1}{2} + { 19 } }$

$\sf{~~~~~\mapsto ~~ 27 + 144 + { \dfrac{3}{2} } + \dfrac{1}{2} + { 19 } }$

$\sf{~~~~~\mapsto ~~ 190+ { \dfrac{3}{2} } + \dfrac{1}{2} }$

$\sf{ ~~~~~\mapsto ~~ \dfrac{380 + 3 + 1}{2} }$

$\sf{ ~~~~~\mapsto ~~ \dfrac{384}{2} }$

$\begin{gathered}\sf{~~~~~\mapsto ~~ 192 } \\ \\ \end{gathered}$

$\red{ \boxed {\sf{ {3}^{ -5 } \times {3}^{2} \div {3}^{ - 6} +{ ( {2}^{2} \times 3) }^{2} + { \bigg( \dfrac{2}{3} \bigg) }^{ - 1} + {2}^{ - 1} + { \bigg( \dfrac{1}{19} \bigg) }^{ - 1} = 192}}}$