Learn how to get the same bases to solve an exponential equation

The video tutorial explains the one-to-one property in mathematics, emphasizing the importance of having the same base to solve equations. It demonstrates how to rewrite numbers to have the same base, using the example of rewriting 27 as 3^3. The tutorial then shows how to apply the one-to-one property to solve for powers, encouraging students to practice with similar problems.

What is the key requirement for using the one-to-one property in solving equations?

• The numbers must be prime.

• The bases must be the same.

• The bases must be different.

• The exponents must be equal.

How can you rewrite the number 27 to have the base of 3?

• 3^5

• 3^2

• 3^3

• 3^4

Why is it important to rewrite numbers to the same base when using the one-to-one property?

• To make the numbers larger.

• To avoid using the property.

• To change the exponents.

• To simplify the equation.

What should you focus on when looking at a problem involving the one-to-one property?

• Using different bases.

• Finding the largest number.

• Obtaining the same base.

• Changing the exponents.

Once the bases are the same, what is the next step in solving the equation?

• Multiply the bases.

• Divide the exponents.

• Change the bases again.

• Solve for the powers.