How do you simplify #(-2g^3h)(-3gj^4)^2(-ghj^4)^2#?

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Answer 1 · 2017-01-24T16:25:27

#=-18g^7h^3j^16#

Simplify each bracket separately, then multiply all the factors together:

#color(red)((-2g^3h))color(blue)((-3gj^4)^2)color(brown)((-ghj^4)^2)#

#=color(red)((-2g^3h))color(blue)((+9g^2j^8)color(brown)((+g^2h^2j^8)#

#=-18xxg^3g^2g^2 xx hh^2 xx j^8j^8#

#=-18g^7h^3j^16#

Laws of indices:

#(x^m)^n = x^(mn)#

and

#x^m xx x^n = x^(m+n)#