The cube root of .000216 is:

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0.6

0.06

answer is A.

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Detailed Solution

Concept- Write the number specified in the instruction in the form of a fraction, remove the decimal places and divide by the power of 10 equal to the number of decimal places. Then find the cube root of the numerator and denominator.
The cube root of any number is the number that, when multiplied by itself, becomes the number's cube.
If the number is in decimal format and has m decimal places, divide the number by 10m to represent it in fraction format.
The number of statements is taken as .000216
Write this number in fraction form.
Since there are six digits after the decimal point, write the numerator as the number without the decimal point and the denominator as

Remove leading zeros from the number in the numerator, as they do not affect the number.

Now write the numerator and denominator in terms of factors.

can be written
Using the power law

We can write

Replace the numerator and denominator values.
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Now let's take the cube root of both sides of the equation
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As you know, the cube root of any number can be written as

Using the law of exponents we can write

We can see that the denominator of RHS is 102. Therefore, fractions can be converted to decimal form by placing a decimal point after two digits when starting on the right side of the number.
Question Image

So, the cube root of 0.000216 = 0.6
Hence, the correct answer is option (1)

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