Exponents and Perfect Squares

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 x 2 x 2.

Front

What does 8^6 represent?

Back

8^6 represents 8 multiplied by itself 6 times: 8 x 8 x 8 x 8 x 8 x 8.

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the product of an integer with itself. For example, 16 is a perfect square because it can be written as 4 x 4.

Front

Is 121 a perfect square?

Back

Yes, 121 is a perfect square because it equals 11 x 11.

Front

What is 5^4?

Back

5^4 equals 625, which is calculated as 5 x 5 x 5 x 5.

Front

Which of the following is a perfect square: 2^4, 16^2, 4^2, 8^2?

Back

4^2 is a perfect square because it equals 16.

Front

What is the area of a square with a side length of 12 cm?

Back

The area is 144 cm², calculated as side x side (12 x 12).

Front

How do you find the length of a side of a square if you know the area?

Back

To find the length of a side, take the square root of the area. For example, if the area is 144 cm², the side length is √144 = 12 cm.

Front

What is the value of 3^2?

Back

3^2 equals 9, which is 3 multiplied by itself (3 x 3).

Front

What is the value of 10^3?

Back

10^3 equals 1000, which is 10 multiplied by itself 3 times (10 x 10 x 10).