Question

A number raised to power $ 3 $ is called.
A. Cube of that number
B. Square of that number
C. Cube root of that number
D. Square root of that number

Answer 1

Hint: Before choosing any option students first remember the definitions of cube, square, cube root and square root. First we will know about the power and then give the answer to the question.

Complete step-by-step answer:
As we know that in mathematics, a mathematical operation called exponentiation is written as $ {{a}^{n}} $
Where, $ a $ is known as the base and $ n $ is the exponent or power.
Also we know that the power of a number states how many times to use that number in a multiplication.
For example- If a number $ x $ has power $ 2 $ , it means a number is multiplied by itself for two times.
Power $ 2 $ is known as the square of that number. It is written as $ {{x}^{2}}=x\times x $
We have given that a number is raised to power $ 3 $ , It means a number is multiplied by itself for three times.
Power $ 3 $ is known as the cube of that number.
Let us understand it by an example-
If we have given that $ {{2}^{3}} $ it means we have to find the cube of $ 2 $
And we will solve it by multiplying $ 2 $ for three times. i.e. $ {{2}^{3}}=2\times 2\times 2=8 $
So the correct answer for the given question will be option A.

Note: Before giving an answer to this question, students must have an idea about the cube, square, cube root and square root. Also students have to know the difference between cube and cube root, square and square root because if not clear, then it leads to the confusion. Cube root of a number is a special value that when cubed gives the original number. For example the cube root of $ 8 $ is $ 2 $ . For cube root we use a symbol $ {}^{3}\sqrt{{}} $ .