Evaluate 0.3³0.{3}^(3)how do I solve It?

Question

Evaluate 0.3³
`0.{3}^(3)`how do I solve It?

Answer 1

`0.027`

Step-by-step explanation

Step 1

remember

`a^b=\text{ a multiplied by itself b times}`

then

`\begin{gathered} 0.3^3=0.3\cdot0.3\cdot0.3 \\ \end{gathered}`

Step 2

make the multiplication:

To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

so

`\begin{gathered} 0.3\cdot0.3\cdot0.3\Rightarrow3\cdot3\cdot3=27\text{ ( with 3 places)} \\ so \\ 0.027 \end{gathered}`

I hope this helps you