How do you simplify $6z^3*7z^5$ ?

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Answer 1 · 2015-09-30T05:09:46

$=color(blue)(42z^8$

$6color(blue)(z^3)⋅7color(blue)(z^5$

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

Applying the above property to powers of $z$ :

$6color(blue)(z^3)⋅7color(blue)(z^5) = 6*7* color(blue)((z^(3+5))$

$=color(blue)(42z^8$

How do you simplify 6z^3*7z^56z^3*7z^5?