Question

Which expression is equivalent to 4 sqrt x^10

Answer 1

$4\sqrt{x^{10}}=4\sqrt{(x^5)^2}=4|x^5|$

$\text{Used:}\\\\(a^n)^m=a^{n\cdot m}\\\\\sqrt{a^2}=|a|$

Answer 2

Answer:

$4x^{5}$

Step-by-step explanation:

The given expression is $4\sqrt{x^{10}}$

We have to simplify the given expression

$4\sqrt{x^{10}}=4\sqrt{(x)^{5}(x)^{5}}$

= $4\sqrt{(x^{5})^{2}}$

= $4[(x^{5})^{2}]^{\frac{1}{2}}$

= $[(x^{5})^{2\times \frac{1}{2}}]$ [Since $[a^{m}]^{n}=a^{m\times n}$

= $4x^{5}$

Therefore, the expression equivalent to the given expression will be $4x^{5}$