Question

(2^3)^4=(2^2)^x , find the value of x

Answer 1

$\huge \tt \underline \orange {Answer}$

$\bf \green{ {(2}^3 ) ^{4} = ( {2}^{2} ) ^{x} } \\ \\ \bf \blue {( {2}^{12}) = ( {2}^{2x} ) } \\ \\ \bf\purple {According \: to \: Question} \\ \\ \tt \orange{12 = 2x} \\ \\ \tt \orange{2x = 12} \\ \\ \tt \orange{x = \frac{12}{2}} \\ \\ \tt \red { \longrightarrow 6}$

Additional Information

What are exponents?

$\red {\longrightarrow}$ It refers to that how much times a number should be repeated. like 2² = 2 * 2

What are the laws of Exponent?

$\red {\longrightarrow}$$\huge \tt \pink{ {a}^{m} \times {a}^{n} = {a}^{m + n} }$

$\red {\longrightarrow}$$\huge \tt \pink{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

$\red {\longrightarrow}$$\huge \tt \pink{ ( {a}^{m} ) ^{n} = {a}^{m \times n} }$

$\red {\longrightarrow}$$\huge \tt \pink { {a}^{ - 1} = \frac{1}{a} }$

$\red {\longrightarrow}$$\huge \tt \pink{a^0 = 1}$