MCQ
$(65.61)^{1 / 8}$ is equal to
- ✓$\frac{3}{\sqrt[4]{10}}$
- B0.3
- C0.03
- D$\frac{3}{\sqrt{10}}$
✓
Answer
Correct option: A.
$\frac{3}{\sqrt[4]{10}}$
(a)
$(65.61)^{1 / 8}=\left(\frac{6561}{100}\right)^{1 / 8}=\left(\frac{3^8}{10^2}\right)^{1 / 8}=\frac{\left(3^8\right)^{1 / 8}}{\left(10^2\right)^{1 / 8}}=\frac{3^{8 \times \frac{1}{8}}}{10^{2 \times \frac{1}{8}}}=\frac{3}{10^{1 / 4}}=\frac{3}{\sqrt[4]{10}}$
$(65.61)^{1 / 8}=\left(\frac{6561}{100}\right)^{1 / 8}=\left(\frac{3^8}{10^2}\right)^{1 / 8}=\frac{\left(3^8\right)^{1 / 8}}{\left(10^2\right)^{1 / 8}}=\frac{3^{8 \times \frac{1}{8}}}{10^{2 \times \frac{1}{8}}}=\frac{3}{10^{1 / 4}}=\frac{3}{\sqrt[4]{10}}$
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