Question

$\frac{ {2}^{n} \times {2}^{6} }{ {2}^{ - 3} } = 18$
options
a) 12
b) 8
c) 18

d) 6​

Answer 1

Step-by-step explanation:

$\tt\red{ QUESTION}$$\tt\blue{::}$

$\frac{ {2}^{n} \times {2}^{6} }{ {2}^{ - 3} } = 18$

$\tt\red{ ANSWER}$$\tt\blue{::}$

$\tt \blue{\frac{ {2}^{n} \times {2}^{6} }{ {2}^{ - 3} }} \tt \green = \rm \pink{18} \\ \\ \tt \red \implies \tt \pink{ \frac{2 {}^{n + 6} }{2 { }^{ - 3} } } = 18\\ \\ \tt \red \implies \tt \green{ 2 {}^{n + 6 - 3} } = 18\\ \\ \tt \red \implies \tt \orange{ 2 {}^{n + 3} } = 18 \\ \\ \tt \red \implies \tt \pink{ 2 {}^{n } + 2 {}^{3} } = 18 \\ \\ \tt \red \implies \tt \blue{ 2 {}^{n} +8 } = 18 \\ \\ \tt \red \implies \tt \pink{ 2 {}^{n} } = 18 - 8\\ \\ \tt \red \implies \rm \green{2 {}^{n} } \rm \pink{ = 10} \\ \\ \tt \red\implies \mathfrak \green{5 \sqrt{2}} ans$

Answer 2

Answer:

$\rm \red{ QUESTION}$$\tt\blue{::}$

$\frac{ {2}^{n} \times {2}^{6} }{ {2}^{ - 3} } = 18$

$\rm \red{ ANSWER}$$\tt\blue{::}$

$\tt \blue{\frac{ {2}^{n} \times {2}^{6} }{ {2}^{ - 3} }} \tt \green = \rm \pink{18} \\ \\ \tt \red \implies \tt \pink{ \frac{2 {}^{n + 6} }{2 { }^{ - 3} } } = 18\\ \\ \tt \red \implies \tt \green{ 2 {}^{n + 6 - 3} } = 18\\ \\ \tt \red \implies \tt \orange{ 2 {}^{n + 3} } = 18 \\ \\ \tt \red \implies \tt \pink{ 2 {}^{n } + 2 {}^{3} } = 18 \\ \\ \tt \red \implies \tt \blue{ 2 {}^{n} +8 } = 18 \\ \\ \tt \red \implies \tt \pink{ 2 {}^{n} } = 18 - 8\\ \\ \tt \red \implies \rm \green{2 {}^{n} } \rm \pink{ = 10} \\ \\ \tt \red\implies \mathfrak \green{5 \sqrt{2}} ans$

$\purple{\rule{45pt}{7pt}}\red{\rule{45pt}{7pt}}\pink{\rule{45pt}{7pt}}\blue{\rule{45pt}{7pt}}$