How to simplify x^12/x^-3

Question

How to smplify

Answer 1

x¹²

x^-3

 

This can be rewritten as;

 

x¹² ÷ x^-3

 

remember that x^a ÷ x^b is the same as x^(a-b)

 

so we'd have;

 

x^(12-(-3))

 

which becomes;

 

x^{(12 + 3)}

 

which gives;

 

x¹⁵

 

 

Answer 2

X¹²

X-³

 

Remember when you multiply the same variable by itself, you add the exponents and when you divide you subtract the exponents.

 

This problem is division so it would be X^{12- (-3)}  which becomes X^12+3 which gives an answer of  X^ 15