Question

How do you translate \[4{n^{\dfrac{2}{7}}}\] into verbal expressions?

Answer 1

Hint: Here in this question, we have to read the question and find the relation by reading the question. By knowing the relation, we can have to write in the form of words. While writing in the word form we use the terms which relate the numeral form and we write the terms which are related to the mathematical operation.

Complete step by step solution:
The algebraic expression or equation is a combination of variables and constants. The variables are alphabets and the constants are numerals. In the algebraic expression we have 3 different types and they are monomial, binomial and polynomial. The algebraic expression or equation involves the arithmetic operations.
We have some sentences, by reading the sentences we have to use arithmetic operations.
If we have addition operation then the sentence will involve a plus b, the sum of a and b, a increased by b, b more than a, the total of a and b, b added to a
If we have a subtraction operation then the sentences involve a minus b, the difference of a and b, b subtracted from a, a decreased by b, b less than a.
If we have a multiplication operation then the sentence will involve a times b, the product of a and b then we use the multiplication arithmetic operation. And so on.
The cap represents the power, suppose the mathematical expression has cap, then the sentences involving b is power of a, a is raised to b.
Now let we go through the question, in the question we have \[4{n^{\dfrac{2}{7}}}\] , in this question the cap mathematical operation is used. So it can be written as by using the sentences which relate to this operation.
Therefore the verbal expression of \[4{n^{\dfrac{2}{7}}}\] is written as “four n to the power of two by seventh”
Or
The verbal expression of \[4{n^{\dfrac{2}{7}}}\] is written as “ Four n to the power of two-seventh”
So, the correct answer is “Four n to the power of two-seventh”.

Note: The algebraic expression or equation can be converted or transformed into a phrase form and vice- versa. The numeral form is converted or transformed into the phrase form. While converting or transforming the numeral form into phrase form we use the sentence which relates to the respective mathematical operation.