MCQ
The value of $\{5(8^{\frac{1}{4}}+27^{\frac{1}{3}})^3\}^{\frac{1}{4}}$ is :
- A6
- B3
- C5
- D4
✓
Answer
c. 5
Solution :
$\{5(8^{\frac{1}{4}}+27^{\frac{1}{3}})^3\}^{\frac{1}{4}}$
$\Rightarrow\{5(2^{3\times\frac{1}{3}}+3^{3\times\frac{1}{3}})^3\}^{\frac{1}{4}}$
$\Rightarrow\{5(3+2)^3\}^{\frac{1}{4}}$
$\Rightarrow\{5\times5^3\}^{\frac{1}{4}}$
$\Rightarrow5^{4\times\frac{1}{4}}$
$\Rightarrow5$
Solution :
$\{5(8^{\frac{1}{4}}+27^{\frac{1}{3}})^3\}^{\frac{1}{4}}$
$\Rightarrow\{5(2^{3\times\frac{1}{3}}+3^{3\times\frac{1}{3}})^3\}^{\frac{1}{4}}$
$\Rightarrow\{5(3+2)^3\}^{\frac{1}{4}}$
$\Rightarrow\{5\times5^3\}^{\frac{1}{4}}$
$\Rightarrow5^{4\times\frac{1}{4}}$
$\Rightarrow5$
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