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hi! I want to know how to calculate as an aexample= 2^3.4 without using the"^" button of my calculator I already know that it's equal to sqrt5(131072) can someone help me?

 May 22, 2014

Best Answer 

 #1
avatar+118723 
+5

$$\begin{array}{rll}
2^{3.4}&=&2^{\frac{34}{10}}\\\\
&=&2^{\frac{17}{5}}\\\\
&=&\left(2^{17}\right)^{1/5}\\\\
&=&\sqrt[5]{2^{17}}\\\\
&=&\sqrt[5]{131072}
\end{array}$$

.
 May 23, 2014
 #1
avatar+118723 
+5
Best Answer

$$\begin{array}{rll}
2^{3.4}&=&2^{\frac{34}{10}}\\\\
&=&2^{\frac{17}{5}}\\\\
&=&\left(2^{17}\right)^{1/5}\\\\
&=&\sqrt[5]{2^{17}}\\\\
&=&\sqrt[5]{131072}
\end{array}$$

Melody May 23, 2014

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