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

2 Answers
May 30, 2018

Answer:

#(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

Answer:

#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#.