Question

(2x raised to fourth power) raised to the negative fourth power

Answer 1

`(2x^4)^(-4)=2^(-4)\cdot (x^4)^(-4)=(1)/(2^4)\cdot (1)/((x^(4))^4)=(1)/(16)\cdot (1)/(x^(16))=(1)/(16x^(16))`

Answer 2

`{ \left( { \left( 2x \right) }^( 4 ) \right) }^( -4 )\\ \\ =\frac { 1 }{ { \left( { \left( 2x \right) }^( 4 ) \right) }^( 4 ) }`


`\\ \\ =\frac { 1 }{ { \left( 2x \right) }^( 16 ) } \\ \\ =\frac { 1 }{ { 2 }^( 16 ){ x }^( 16 ) } \\ \\ =\frac { 1 }{ 65536{ x }^( 16 ) }`