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

2 Answers
May 30, 2018

(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

May 30, 2018

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.