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Given the equation: $\newline$ $2^a = \sqrt[4]{2}$

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Find derivatives using the quotient rule II

Full solution

Q. Given the equation:

\newline

2^a = \sqrt[4]{2}

Rewrite as power of $2$ : First, rewrite $\sqrt[4]{2}$ as a power of $2$ . $\newline$ $\sqrt[4]{2} = 2^{1/4}$
Set exponents equal: Now, we have $2^a = 2^{1/4}$ .
Set exponents equal: Now, we have $2^a = 2^{1/4}$ .Since the bases are the same, we can set the exponents equal to each other. $\newline$ $a = \frac{1}{4}$

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