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Work out the value of n.

1/32÷^3√2=2^n

Give your answer as an improper fraction.

 Jan 3, 2017
 #1
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Work out the value of n.

1/32÷^3√2=2^n

Give your answer as an improper fraction.

 

Mmmm do you mean

 

 

1/32÷(cube root of 2)=2^n

 

\(\frac{1}{32}\div \sqrt[3]{2}=2^n\\ \frac{1}{2^5}\div 2^{1/3}=2^n\\ 2^{-5}\div 2^{1/3}=2^n\\ 2^{(-5-\frac{1}{3})}=2^n\\ 2^{(-5\frac{1}{3})}=2^n\\ n=-5\frac{1}{3}\)

 

\(n=\frac{-16}{3}\)

 Jan 3, 2017

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