Answer

Verified

352.5k+ views

**Hint**: The power is used to express mathematical equations in the short form; it is an expression that represents the repeated multiplication of the same factor. For example - $ 2 \times 2 \times 2 $ can be expressed as $ {2^3} $ . Here, the number two is called the base and the exponent represents the number of times the base is used as the factor. First we will frame the mathematical expression from the given word statement.

**:**

__Complete step-by-step answer__Given word statement: (square root of $ 3 $ ) to the power of $ 2 $

Mathematical expression: $ {(\sqrt 3 )^2} $

The above expression can be re-written as –

$ = {3^{\dfrac{1}{2} \times 2}} $

By the property of the Power rule: to raise Power to power you have to multiply the exponents such as $ {\left( {{x^a}} \right)^b} = {x^{ab}} $ .

$ = {3^{\dfrac{2}{2}}} $

Common factors from the numerator and the denominator cancels each other. Therefore, remove from the numerator and the denominator.

$ = 3 $

Hence, the required answer is (square root of $ 3 $ ) to the power of $ 2 $ is $ 3 $

**So, the correct answer is “3”.**

**Note**: Remember the seven basic rules of the exponent or the laws of exponents to solve these types of questions. Make sure to go through the below mention rules, it describes how to solve different types of exponents problems and how to add, subtract, multiply and divide the exponents.

I.Product of powers rule

II.Quotient of powers rule

III.Power of a power rule

IV.Power of a product rule

V.Power of a quotient rule

VI.Zero power rule

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

The 3 + 3 times 3 3 + 3 What is the right answer and class 8 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How many crores make 10 million class 7 maths CBSE

Difference Between Plant Cell and Animal Cell

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE