How do you use laws of exponents to simplify $(x^3y)^8$ ?

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Answer 1 · 2015-08-05T06:21:26

$=x^color(blue)(24)y^(color(blue)(8)$

$(x^3y)^color(blue)(8$

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

$color(blue)(8)$ is multiplied with each term within the bracket.

$=x^color(blue)((3*8))y^(color(blue)(8)$

$=x^color(blue)(24)y^(color(blue)(8)$

How do you use laws of exponents to simplify (x^3y)^8(x^3y)^8?