Question 24

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Jambmaths question: 

Evaluate $\frac{{{81}^{\tfrac{3}{4}}}-{{27}^{\tfrac{1}{3}}}}{3\times {{2}^{3}}}$

Option A: 

1

Option B: 

$\tfrac{1}{8}$

Option C: 

3

Option D: 

$\tfrac{1}{3}$

Jamb Maths Solution: 

$\frac{{{81}^{\tfrac{3}{4}}}-{{27}^{\tfrac{1}{3}}}}{3\times {{2}^{3}}}=\frac{{{3}^{4(\tfrac{3}{4})}}-{{3}^{3(\tfrac{1}{3})}}}{3\times 8}=\frac{{{3}^{3}}-3}{3\times 8}=\frac{27-3}{24}=\frac{24}{24}=1$

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