1/(x^(-2)*x^4 )

Answer 1

To simplify this expression, we need to combine the exponents and use the properties of exponents.

First, let's combine the exponents inside the parentheses:

x^(-2) * x^4

In order to combine these terms, we need to have the same base, which is x.

Using the property of exponents, we can add the exponents when multiplying powers with the same base:

x^(-2) * x^4 = x^(-2+4)

Simplifying the exponent:

= x^2

So 1/(x^(-2) * x^4) simplifies to 1/x^2.