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How is this worked out manually? 

8^(5/3)

 Aug 2, 2016
 #1
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8^(5/3) =8^5 =32,768^(1/3)=32

 Aug 2, 2016
 #4
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That is the calculator method.

How to work out 8^(5/3) manually.

\(8^{\frac{5}{3}}=(\sqrt[3]{8})^5=2^5=2\cdot 2 \cdot 2 \cdot 2 \cdot 2 = 4 \cdot 2 \cdot 2 \cdot 2 = 8 \cdot 2 \cdot 2 = 16 \cdot 2 = 32\\ \text{Or if you know what's 2^5, the answer is straight-foward-ly 32.}\)

MaxWong  Aug 2, 2016
 #2
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If the derivative of a function f(x) is 1x^(-1), what is the derivative of 9f(x)?

 Aug 2, 2016
 #3
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See your latest post. Melody replied to your post about the derivative one.

MaxWong  Aug 2, 2016

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