Question

If z=0.064, then find the value of (1/z)1/3 . Explain

Answer 1

If z = 0.064 then,

(1/z)^1/3 = (1/0.064)^1/3

0.064^1/3 = 0.4

Therefore, (1/0.064)^1/3 = 1/0.4

Answer 2

Answer:

$\left(\frac{1}{z}\right)^{\frac{1}{3}}=2.5$

Step-by-step explanation:

$Given\:z=0.064$

$\implies z=\frac{64}{1000}$

$\implies z = \left(\frac{4}{10}\right)^{3}$

$\implies \frac{1}{z}=\left(\frac{10}{4}\right)^{3}$

$Now,\\ \:\left(\frac{1}{z}\right)^{\frac{1}{3}}=\left(\frac{10}{4}\right)^{3\times\frac{1}{3}}$

$\implies \left(\frac{1}{z}\right)^{\frac{1}{3}}=\frac{10}{4}\\=\frac{5}{2}\\=2.5$

Therefore,.

$\left(\frac{1}{z}\right)^{\frac{1}{3}}=2.5$

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