Question

Express the following rational number in exponential notation. Further express them as power of prime factors. (A) 27/1000

Answer 1

Answer:

The required notation answer is found to be: $2.7\times10^{-2}$.

Step-by-step explanation:

Exponential Notation:

Mathematical equations usually include either fractions or scientific notation, but the two are not very different concepts. Fractions represent numbers as a ratio of two numbers.  Scientific notation has a different purpose. Multiply the number by 10  to the 10th power to make it easier to write. For example, instead of writing 10,000,000, you can write 1 x 10 ^ 7 using scientific notation.

Calculation of the given fraction:

We are given the fraction as: $\frac{27}{1000}$

We have to remove the denominator and write it in a form such that exponent (power) is used.

We can write this fraction as:

$\frac{27}{1000}=(\frac{3}{10})^3$

So, we can write the given fraction as:

$\frac{27}{1000}=(0.3)^3$

Thus, the required answer is found to be: $(0.3)^3\ or\ 2.7\times10^{-2}$

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Answer 2

Step-by-step explanation:

27/ 1000 = 3/10 raised to the power 3