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

User Joel Lucsy
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so, to do this, you would multiply inside the radicals. The answer would be the fourth root of x^4, or x. 
User John Meagher
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6 votes

Answer:

simplified form of the expression is x

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))^{(1)/(4) } (x^(2))^{(1)/(4) }


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


=(x^(2) )^{(2)/(4) }


=(x^(2) )^{(1)/(2) } [Since
(a^(b))^(c) =a^((b)(c)) ]

= x

User Aakash
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