Exponents powers basic Mathematics quiz

32 FREE Math Ebook Downloads For Members

32 Free math ebooks

An expression such as 5 power 3 means number 5 is multiplied thrice by itself. Here 5 is called as a base while the number 3 is called as an exponent. Hence square of a number means the number multiplied by itself which is nothing but number power 2. In the exponential form if the number is x then it could be shown as x2. Same is the case with cubes and other powers. In this quiz, there are numbers which are raised to some power and the child has to answer what is the result of that. This way the child will have enough hands-on experience to deal with powers.

What is an exponent and how to solve exponent problems?

An exponent is a number that tells you how many times a number, called the base, should be used in a multiplication. The exponent is written as a small number above and to the right of the base. This small number is called the “power.”

For example, in the number 4 to the power of 3, or 4^3, the base is 4 and the exponent is 3. This means that the base should be used in a multiplication 3 times. So 4^3 is equal to 4 x 4 x 4, which is 64.

Here are some other examples:

2^4 = 2 x 2 x 2 x 2 = 16

5^3 = 5 x 5 x 5 = 125

6^2 = 6 x 6 = 36

You can also have exponents with negative numbers. For example, 2^-3 means 1 / (2 x 2 x 2), which is equal to 1/8.

You can also have exponents with decimals, such as 2^0.5, which is equal to the square root of 2, or about 1.4.

There are some rules for working with exponents that can help you solve problems more quickly.

  • To multiply two numbers with the same base, you can add the exponents. For example, 2^3 x 2^4 = 2^7.
  • To divide two numbers with the same base, you can subtract the exponents. For example, 2^5 / 2^3 = 2^2.
  • When you have a number with an exponent in parentheses, you can use the exponent to multiply the base by itself that many times. For example, (2^3)^2 = 2^(3 x 2) = 2^6.