Evaluate \[{\left( {1.2} \right)^3}\]?
Answer
621.3k+ views
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.
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.
Recently Updated Pages
Find the greatest six digit number that is exactly class 8 maths CBSE

What is the time difference between India and Cana class 8 social science CBSE

Compare LPG and wood as fuels class 8 chemistry CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

30 opposite words in English from a to z class 8 english CBSE

How many cubic feet equals to 1 unit sand class 8 maths CBSE

Trending doubts
One cusec is equal to how many liters class 8 maths CBSE

Who commanded the Hector the first British trading class 8 social science CBSE

What is the difference between rai and mustard see class 8 biology CBSE

What is the feminine gender of a stag class 8 english CBSE

Advantages and disadvantages of science

Write a letter to the Municipal Commissioner to inform class 8 english CBSE


