Question

Which expression is equivalent to X^2 * X^-6

a.) x^-4
b.)x^-2 * x^-6
c.)1/x^-2
d.)x/x

Answer 1

a.) x^-4

Explanation:

`x^2\cdot x^(-6)\qquad\text{use}\ a^n\cdot a^m=a^(n+m)\\\\=x^(2+(-6))=x^(2-6)=x^(-4)`