How do you simplify #(-w^ 2)^ -5#?

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Answer 1 · 2015-09-30T10:42:21

#(−w^2)^-5 = color(green)(-w^(-10)#

#(−w^2)^-5#

By property
#color(blue)(a^(-m)=1/a^m#

Applying the same:

#=1/(-w^2)^5#

#=1/(-1*w^2)^5#

By property
#color(blue)((a*b)^m = a^m *b^m#

Applying the same:

#=1/((−1)^5*(w^2)^5)#

By property
#color(blue)((a^m)^n = a^(m*n)#

Applying the same:
#=1/((-1)*w^(2*5)#

# = -1/w^10#

# = color(green)(-w^(-10)#