How do I simplify $(5x^2)(2x^5)$ ?

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Answer 1 · 2015-07-27T11:50:31

$= color(blue)(10 x^(7))$

$(5x^2)(2x^5)$

$=(5) * color(blue)((x^2)) * (2) *color(blue)( (x^5)$

$color(blue)(a^m*a^n=a^(m+n)$
Applying the same property to the exponents of $x$

$=(5) * (2) * color(blue)((x^(2+5))$

$= color(blue)(10 x^(7))$

How do I simplify (5x^2)(2x^5)(5x^2)(2x^5)?