Question

Evaluate \[{\left( {1.2} \right)^3}\]?

Answer 1

Hint: To find the value of \[{\left( {1.2} \right)^3}\].
Our expression is written in the form of \[{a^3}\], which can also be written as \[{a^3} = a \times a \times a\] that means we can break any number of power into its respective factor. So we will use this similar type of property here where we will break \[{\left( {1.2} \right)^3} = 1.2 \times 1.2 \times 1.2\] and then by multiplying every factor, we will get the desired result.

Complete step by step solution:
So we will use one simple algebraic property that is \[{a^3} = a \times a \times a\]
Now, we have to find the value of \[{\left( {1.2} \right)^3}\], using above property we can write\[{\left( {1.2} \right)^3}\] as \[{\left( {1.2} \right)^3} = 1.2 \times 1.2 \times 1.2\]
Now by multiplying we get
\[\begin{array}{c}
{\left( {1.2} \right)^3} = 1.44 \times 1.2\\
 = 1.728
\end{array}\]

So, our required answer is \[1.728\]

Note:
We need to take care while multiplying with decimals, we must shift decimals into the correct place otherwise our answer which we will get is wrong or we can convert decimal into fraction and then multiply the fraction and then again convert it to decimal. We can find multiplication for nth power that is \[{a^n} = a \times a \times a \times a..............n{\rm{ }}times\]\. We had also given some words for these kinds of powers. In this particular question the number which is written in power is called a cube. Further for two powers we call it a square of a number. We can also remember some standard value of the cube to save time while doing complex calculations.