How do you multiply $(3sqrtx^5)(2sqrtx^3)$ ?

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Answer 1 · 2018-03-03T01:29:22

The answer is $6x^4$ .

You can rewrite $sqrtx^5$ as $x^(5/2)$ , and $sqrtx^3$ as $x^(3/2)$ :

$color(white)=(3sqrtx^5)(2sqrtx^3)$

$=(3x^(5/2))(2x^(3/2))$

$=3*2*x^(5/2)*x^(3/2)$

$=6*x^(5/2)*x^(3/2)$

$=6*x^(5/2+3/2)$

$=6*x^(8/2)$

$=6*x^4$

The answer is $6x^4$ .

How do you multiply (3sqrtx^5)(2sqrtx^3)(3sqrtx^5)(2sqrtx^3)?