Question

How to simplify (4x^2)^3 divided by 2x^7?

Answer 1

Given the expression:

`((4x^2)^3)/(2x^7)`

so simplify, we have to use the following general rules for exponents:

`\begin{gathered} (a^n)^m=a^(n\cdot m) \\ (a^n)/(a^m)=a^(n-m) \end{gathered}`

then, in this case we have the following:

`((4x^2)^3)/(2x^7)=(4^3x^(2\cdot3))/(2x^7)=(64x^6)/(2x^7)=(64)/(2)x^(6-7)=32x^(-1)^{}`

therefore, the simplifide expression is 32x^(-1)