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Show all work to write the expression in simplified rational exponent form:


(\sqrt[4]{x^(2)+4 } )^(3)
(Fourth root of x squared plus four, cubed)

1 Answer

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Answer:


x^{(1)/(2) } + 48

Explanation:

This is hard to explain, but basically you use exponent rules to switch it to an exponent


(\sqrt[4]{x^(2) +4} )^(3)

It's easiest if you calculate
4^(3) first

4³ = 4 x 4 x 4 = 48

Then convert the root to a fraction exponent


\sqrt[4]{x^(2)} = x^{(2)/(4)} = x^{(1)/(2) }

Combine them using addition, since addition was in the problem


x^{(1)/(2) } + 48

I hope this helps!

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