How do you simplify $3 sqrt x^15$ ?

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Answer 1 · 2016-03-03T23:21:50

$3x^"15/2"$

Recall that a square root is the same as a $"1/2"$ power.

Thus,

$3sqrt(x^15)=3(x^15)^"1/2"$

Now, use the rule:

$(a^b)^c=a^(bc)$

Multiply $15$ and $"1/2"$ :

$=3x^"15/2"$

Answer 2 · 2016-03-03T23:31:57

$3x^7sqrtx$

Try to rewrite $x^15$ in terms of squared terms.

$x^15=x^14 * x=(x^7)^2 * x$

Thus, we have

$3sqrt(x^15)=3sqrt((x^7)^2 * x)$

The $(x^7)^2$ term can be brought out of the square root term without the squared part.

$=3x^7sqrtx$

How do you simplify 3 sqrt x^153 sqrt x^15?