Need to explain answer in complete sentences.

Question

why is this a true statement. I need to explain my reasoning in complete sentences. 

 

x^{-3 =}   1  

          x³

 

Answer 1

The relations are

 

x^-n = 1 / xⁿ

 

1 / x^-n = xⁿ

 

Then x^-3 = 1 / x³

 

 

Answer 2

A non-zero number raised to a negative power is the same as the reciprocal of the number raised to the positive power.

 

So X^-3  =  (1/X)^3 = (1^3)/(x^3) <--- properties of exponents

 

                                  =     1

                                        ----

                                         X^3