What is the property of equality with exponents and how do we use it

The video tutorial introduces the concept of solving equations with exponents, focusing on the property of equality. The teacher engages students with questions, guiding them to understand that if two exponents with the same base are equal, their powers must also be equal. The lesson emphasizes the application of this property to solve mathematical equations effectively.

If 2^2 equals 2 to what power, what is the value of the exponent?

• 4

• 1

• 2

• 3

In the equation 27^5 = 27^x, what is the value of x?

• 5

• 3

• 4

• 6

What is the value of x in the equation 2^(2x) = 6?

• 5

• 4

• 3

• 2

According to the property of equality, if B^x = B^y, what must be true?

• x > y

• x < y

• x ≠ y

• x = y

Which of the following is a requirement for the property of equality to hold?

• B can be any number

• B must be less than 1

• B must be greater than 1

• B can be zero