Cube Roots and Exponents Concepts

The video tutorial explains how to handle expressions with a base of 8/27 raised to the power of 1. It introduces the concept of cube roots, explaining that finding a cube root involves identifying a number that, when multiplied by itself three times, returns the original number. The tutorial demonstrates this by calculating the cube roots of 8 and 27, resulting in 2 and 3, respectively. It concludes by noting that any number raised to the power of one is itself, providing the final answer.

What is the base in the expression 8/27 raised to the power of 3?

• 8

• 27

• 3

• 8/27

What does the exponent 3 indicate in the expression 8/27 raised to the power of 3?

• Multiply by 3

• Cube the base

• Divide by 3

• Square the base

How do you find the cube root of a fraction like 8/27?

• Square the fraction

• Find the cube root of the numerator and denominator separately

• Multiply by 3

• Divide by 3

What is the cube root of 8?

• 4

• 3

• 2

• 1

What is the cube root of 27?

• 3

• 4

• 2

• 1

What does it mean to find the cube root of a number?

• Divide the number by 3

• Find a number that multiplies itself twice to get the original number

• Multiply the number by 3

• Find a number that multiplies itself three times to get the original number

Which of the following is a correct interpretation of the cube root?

• A number that when divided by 3 gives the original number

• A number that when cubed gives the original number

• A number that when squared gives the original number

• A number that when multiplied by 3 gives the original number

What is the cube root of 64?

• 3

• 2

• 4

• 5

If the cube root of a number is 5, what is the original number?

• 15

• 25

• 125

• 625

What is the cube root of 1?

• 3

• 2

• 1

• 0