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

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

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