x^-1/x^2

Answer 1

To simplify this expression, you can use the rule for dividing exponents with the same base. In this case, we have x raised to the power of -1 in the numerator and x raised to the power of 2 in the denominator.

Using the rule of division, subtract the exponents:

x^-1 / x^2 = x^(-1 - 2)

Now simplify the exponent:

= x^-3

Finally, use the rule that any value raised to the power of -n is equal to 1 divided by that value raised to the power of n:

x^-3 = 1 / x^3

Therefore, x^-1 / x^2 simplifies to 1/x^3.