Unit 7 Flashcard: Exponents, Square Roots and Cube Roots

Front

What is an exponent?

Back

An exponent is a number that indicates 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 is the square root of a number?

Back

The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4, because 4 x 4 = 16.

Front

What is a cube root?

Back

A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

Front

Calculate the volume of a cube with a side length of 4 cm.

Back

The volume of a cube is calculated using the formula V = s^3, where s is the side length. For a side length of 4 cm, V = 4^3 = 64 cubic centimeters.

Front

If a cube has a volume of 64 cubic centimeters, what is the length of one side?

Back

To find the side length, take the cube root of the volume. The cube root of 64 is 4 cm.

Front

What is the formula for the area of a square?

Back

The area of a square is calculated using the formula A = s^2, where s is the length of one side.

Front

Find the area of a square with a side length of 5 inches.

Back

Using the formula A = s^2, the area is A = 5^2 = 25 square inches.

Front

What is the perimeter of a square?

Back

The perimeter of a square is calculated using the formula P = 4s, where s is the length of one side.

Front

Find the perimeter of a square with an area of 36 square inches.

Back

First, find the side length: s = √36 = 6 inches. Then, calculate the perimeter: P = 4s = 4 x 6 = 24 inches.

Front

True or False: The square root of 25 is 5.

Back

True.