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The exact solution to x4 = 8 is _______A. 2B. 84C. 48D. 8^1/4

The exact solution to x4 = 8 is _______A. 2B. 84C. 48D. 8^1/4
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The exact solution to x4 = 8 is _______A. 2B. 84C. 48D. 8^1/4

The exact solution to x4 = 8 is _______A. 2B. 84C. 48D. 8^1/4-example-1
User Spinlok
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Simplify the given expression as shown below


\begin{gathered} x^4=8 \\ \Rightarrow(x^4)^{(1)/(4)}=8^{(1)/(4)} \\ \Rightarrow x^{(4)/(4)}=8^{(1)/(4)} \\ \Rightarrow x=8^{(1)/(4)} \end{gathered}

Thus, the answer is 8^(1/4), option D.

User Cimnine
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