Question

How do you simplify `(d^2)^-4`?

Answer 1

`(d^2)^(-4)=color(blue)(1/d^8`

Explanation:

Simplify:

`(d^2)^(-4)`

Apply the power rule of exponents: `(a^m)^m=a^(m*n)`

`d^(2*(-4))`

`d^(-8)`

Apply the negative exponent rule: `a^(-m)=1/a^m`.

`d^(-8)=1/d^8`

Answer 2

`d^-8 or 1/d^8`

Explanation:

Because of the power of a power property, you'll want to multiply your exponents. 2 * -4 = -8, so this gives you `d^-8` or, when simplified even further, `1/d^8`.