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Masja [62]
2 years ago
10

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

Mathematics
1 answer:
tatyana61 [14]2 years ago
7 0

Answer:

x^{\frac{1}{2} } + 48

Step-by-step 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^{\frac{2}{4}} = x^{\frac{1}{2} }

Combine them using addition, since addition was in the problem

x^{\frac{1}{2} } + 48

I hope this helps!

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