Question

(0.001)^1/3 in explain

Answer 1

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Answer 2

0.1 is the value of $\bold{(0.001)^{\frac{1}{3}}.}$

Given:

$(0.001)^{\frac{1}{3}}$

To find:

Value of $(0.001)^{\frac{1}{3}}$

Solution:

To find the value of $(0.001)^{\frac{1}{3}}$

Procedure to solve the given decimal:

First express the decimal expansion into fraction to convert 0.001 into fraction observing the decimal after the point there are three numbers so it will become$\frac{1}{1000}$. In the question it is given that the decimal raise to the power 1/3 it means taking cube root. The cube root of $\frac{1}{1000}$ will be $\frac{1}{10}$ then converting the given fraction into decimal it is 0.1.

$0.001=\frac{1}{1000}=\frac{1 \times 1 \times 1}{10 \times 10 \times 10}=\frac{1^{3}}{10^{3}}$

$(0.001)^{\frac{1}{3}}=\left(\frac{1^{3}}{10^{3}}\right)^{\frac{1}{3}}$

$\begin{array}{l}{=\frac{1}{10}} \\ {=0.1}\end{array}$

The value of $\bold{(0.001)^{\frac{1}{3}}}$ is $\bold{0.1}$