Solving an Equation Using Cube Roots

The video tutorial explains how to solve the equation X^3 = 27 using three different methods: factorization, exponent comparison, and cube root. Each method is demonstrated step-by-step, showing that the value of X that satisfies the equation is 3. The tutorial encourages viewers to pause and attempt solving the problem before revealing the solutions.

What is the equation we are trying to solve in this tutorial?

• X^3 = 27

• X^2 = 9

• X^2 = 27

• X^3 = 9

In the first method, how is X^3 expressed?

• As X + X + X

• As X^2

• As X * X

• As X * X * X

What is the base and exponent when rewriting 27 as a power in the second method?

• Base 3, Exponent 2

• Base 2, Exponent 3

• Base 2, Exponent 2

• Base 3, Exponent 3

What mathematical operation is used in the third method to solve the equation?

• Square root

• Subtraction

• Addition

• Cube root

What is the final value of X that satisfies the equation X^3 = 27?

• 1

• 2

• 4

• 3