The value of (8/125)^((-4)/3) is __ Option 1: 16/125 Option 2: 625/16 Option 3: 16/625 Option 4: 125/16

Answer: 625/16. Solution: 8/125=(2/5)^3. Raising to -4/3 gives (2/5)^(-4)=(5/2)^4=625/16.

Quantitative Reasoning

Number System

Medium

The value of $\left(\frac{8}{125}\right)^{\frac{-4}{3}}$ is __________

$\frac{16}{125}$

$\frac{625}{16}$

$\frac{16}{625}$

$\frac{125}{16}$

✅ Correct Option: 2

$\frac{8}{125}=\left(\frac{2}{5}\right)^3$ . Raising to $-\frac{4}{3}$ gives $\left(\frac{2}{5}\right)^{-4}=\left(\frac{5}{2}\right)^4=\frac{625}{16}$ .

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Solution

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CUET General Test Past Year Questions (Topic-Wise)

The value of $\left(\frac{8}{125}\right)^{\frac{-4}{3}}$ is __________