Question

How do you simplify `(y^6)^-3 * y^12`?

Answer 1

After simplifying you get `y^-6` or `1/(y^6)`
To calculate this you use these properties of powers:

1) `(a^m)^n=a^(m*n)`
and
2) `a^m*a^n=a^(m+n)`
and
3) `a^-m=1/a^m`
After using 1) for the first part you get `y^-18*y^12`
Then after using 2) you get `y^-6`
Finally to get rid of the negative exponent you can use 3) to get the fraction.