Question

What is the simplified form of the fourth root of x squared times the fourth root of x squared?

Answer 1

So, to do this, you would multiply inside the radicals. The answer would be the fourth root of x^4, or x. 

Answer 2

Answer:

simplified form of the expression is x

Step-by-step explanation:

As per statement of the question the expression is

$(4\sqrt{x^{2}})$ × $(4\sqrt{x^{2} })$

we can rewrite the expression as $(x^{2})^{\frac{1}{4} } (x^{2})^{\frac{1}{4} }$

$(x^{2})^{\frac{1}{4}}(x^{2})^{\frac{1}{4}} =(x^{2})^{(\frac{1}{4}+\frac{1}{4})}$ [since $(x^{a} )(x^{b}) =x^{a+b}$ ]

$=(x^{2} )^{\frac{2}{4} }$

$=(x^{2} )^{\frac{1}{2} }$ [Since $(a^{b})^{c} =a^{(b)(c)}$ ]

= x