Question

What is the difference between 4x and x to the 4th power? Evaluate both of these expressions when x = 2

Answer 1

4x is equivalent to 4 *x whereas xto the 4th power means, x times itself 4 times
4 * 2= 8
2*2*2*2= 16 bc 2*2=4 and again 2*2=4 therefore 4*4=16

Answer 2

Difference between (4x)⁴ and x⁴

= (4x)⁴ x⁴

= 4⁴x⁴

= 256x⁴, x⁴

Evaluate both when x = 2

(4x)⁴ = 256x⁴ = 256*2⁴ = 256*16 = 4096

x⁴ = 2⁴ = 16.