Question

Simplify 3x times 1/x to the -4 power times x to the -3 power

Answer 1

3x^2.

Explanation:

3x * (1/x)^-4 * x^-3

= 3x * x^4 * x^-3

= 3x * x

= 3x^2.

Answer 2

3x²

Explanation:

`3x\cdot(1)/(x^(-4))\cdot x^(-3)=3x^((1-(-4)-3))=3x^2`

___

The applicable rules of exponents are ...

`x^ax^b=x^(a+b)\\\\(1)/(x^(-a))=x^a`