How to simplify Negative Exponents

Introduction:
      Exponents are also called Powers or Indices. Exponents containing negative sign are called negative exponents. The exponent of a number  says how many times to use the number in a multiplication. Dividing is the inverse (opposite) of Multiplying. A negative exponent number says how many times to divide by the number.
     Calculate the positive exponent (aⁿ)
       Then take the Reciprocal (i.e. 1/aⁿ)
      To change the sign ( minus to plus or plus to minus) of the exponent, use the Reciprocal (i.e. 1/aⁿ).

Simplifying Negative Exponents

Simplifying Negative Exponents:

            Exponent  is a small number written near the top of another number which show how many times a number or a variable is multiplied by itself. Negative exponents  indicate the inverse of the corresponding positive exponent.

Simplifying Variables with Negative Exponents:

Consider a problem like the one shown below.
x^-4  = 1/x⁴

Simplifying Fractions with Negative Exponents:

To increase a fraction to a power, raise the numerator and denominator to that power.
            a^-3b-⁴/b^-2=a-³b^-2


Hope you like the above explanation, Please leave your comments, if you have any doubts.