Question

what is value of (0.0000128)1/7​

Answer 1

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This rule took a while for me to internalize. It's tough to picture a decimal terminating when the denominator is so huge, such as DWG's example of 43/256. I found it helped me to think about the basic patterns:

1/2^1 = 0.5

1/2^2 = 0.25

1/2^3 = 0.125

1/2^4 = 0.0625

1/2^5 = 0.03125

1/2^6 = 0.015625

1/2^7 = 0.0078125

1/5^1 = 0.2

1/5^2 = 0.04

1/5^3 = 0.008

1/5^4 = 0.0016

1/5^5 = 0.00032

1/5^6 = 0.000064

1/5^7 = 0.0000128

Answer 2

Answer:

The result is $\frac{0.0000128}{7}=0.0000018$

Step-by-step explanation:

The equation is $(0.0000128)1/7$.

We need solve this.

The equation will become $\frac{0.0000128}{7}$

If we divide decimals, we have to convert the divisor to a whole number by moving the decimal point to the right.

After that, we carry the dividend's decimal point up to the same number of places to the right, then divide the resultant numbers in the usual way as we perform in regular long division.

So,

$\frac{0.0000128}{7}=0.0000018$

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