Flashcard 3: Faust

Front

What is the cube root of 125?

Back

The cube root of 125 is 5, since 5 x 5 x 5 = 125.

Front

What is 3 raised to the power of 3?

Back

3 raised to the power of 3 is 27, since 3 x 3 x 3 = 27.

Front

What is 2 raised to the power of 3?

Back

2 raised to the power of 3 is 8, since 2 x 2 x 2 = 8.

Front

What is the cube root of 729?

Back

The cube root of 729 is 9, since 9 x 9 x 9 = 729.

Front

What is 6 raised to the power of 3?

Back

6 raised to the power of 3 is 216, since 6 x 6 x 6 = 216.

Front

Define cube root.

Back

The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

Front

What is the formula for calculating the volume of a cube?

Back

The volume of a cube is calculated using the formula V = a^3, where 'a' is the length of a side.

Front

What is the relationship between exponents and multiplication?

Back

When multiplying numbers with the same base, you add the exponents: a^m * a^n = a^(m+n).

Front

What is the relationship between exponents and division?

Back

When dividing numbers with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

What is the value of 4^3?

Back

4^3 is 64, since 4 x 4 x 4 = 64.