.......Multiply: (4x^3)^3?

(4x^3)(4x^3)(4x^3)=4*4*4x^(3+3+3)=64x^9

you can always check answer using calculator as well
let x=1
then, (4(1^3))^3=64
64(1^9)=64

It is straight multiplication. Cube of a quantity is multiplying by itself three times. Hence the answer is (4x^3)(4x^3)(4x^3) =64x^9.
[If you seperate the terms you get it as 4*4*4=64 and x^3*x^3*x^3=x^9. combining it gives the answer].

4³ x^9 = 64 x^9

(4x^3)^3
= 4^3 (x^(3x3))
= 64x^9

64x^9 (4^3=64, (x^3)^3 =x^9

learn exponent laws

(4x^3)^3 = 4^(3)*x^(9)

4x^9
it's a power rule