Question

The prize of a book is 10 dollars. If there are 10 stacks of 10 such books, which of the following gives the total price of the books?

• A. 10 raised to the 10th power
• B. 10 raised to the 3rd power
• C. 3 raised to the 10th power
• D. 100 raised to the 10th power

Answer 1

The correct option is B 10 raised to the 3rd power

Price of 1 book = 10 dollars

There are 10 stacks of 10 such books available.

Total number of books = 10 $\times$ 10

Total price = 10 $\times$ 10 $\times$ 10 dollars

Here, 10 is raised to the 3rd power. The base is 10 and the exponent is 3.

The option: "10 raised to the 10th power"
Here, the exponent is 10. In the given question, 10 is raised to the 3rd power.
Hence, this does not give the total price of the book.


The option: "10 raised to the 3rd power"
Here, the base is 10 and the exponent is 3. This is equivalent to "10 $\times$ 10 $\times$ 10".
Hence, this gives the total price of the book.

The option: "3 raised to the 10th power"
Here, the base is 3 and the exponent is 10. In the given question, 10 is raised to the 3rd power. Hence, this does not give the total price of the book.

The option: "100 raised to the 10th power"
Here, the base is 100 and the exponent is 10. In the given question, 10 is raised to the 3rd power. Hence, this does not give the total price of the book.

Therefore, the correct option is "10 raised to the 3rd power".