How do you use laws of exponents to simplify $(-2x^3y)^4$ ?

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Answer 1 · 2015-08-05T06:26:53

$=color(blue)(16* x^color(blue)(12) * y^color(blue)(4$

$(−2x^3y)^color(blue)(4$

As per property:
$color(blue)((ab)^m =a^m * b^m$
Applying the same property to the expression.

Multiplying $color(blue)(4$ with all three terms within the bracket.

$=(-2^color(blue)(4)) * x^color(blue)((3*4)) * y^color(blue)(4$

$=(16) * x^color(blue)(12) * y^color(blue)(4$

$=color(blue)(16* x^color(blue)(12) * y^color(blue)(4$

How do you use laws of exponents to simplify (-2x^3y)^4 (-2x^3y)^4?