Question

Find the cube of each of the following number 0.5

Answer 1

Step-by-step explanation:

0.5 is a rational number as 0.5 = 5/10 = 1/2

A rational fraction can be represented as the ratio between two integers, a & b, hence: a/b

To raise a/b to the nth power, we have (a/b)^n where the numerator and denominator can be raised to that power individually, example: (a/b)^2 = (a/b) * (a/b) = (a^2)/(b^2)

Generally: (a/b)^n = (a^n)/(b^n)

So 0.5^3 = (1/2)^3 = (1^3)/(2^3)

1^3 = 1 so the expression reduces to:

0.5^3 = 1 / 2^3 so the calculation simplifies to finding the cube of 2 and finding its reciprocal = 1/n

0.5^3 = 0.125

Answer 2

Answer:

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