Using the property of equality of powers to solve an equation with exponents

The video tutorial explains how to solve equations involving exponents. It begins by discussing the property of equality for exponents and the importance of having the same base on both sides of the equation. The instructor demonstrates how to rewrite numbers to achieve this and applies the power of power rule. Finally, the tutorial shows how to solve the equation using inverse operations, resulting in the solution for the variable.

What does the property of equality state when the bases are the same?

• The bases are subtracted.

• The exponents are added.

• The bases are multiplied.

• The exponents are equal.

How can the number 16 be rewritten to have a base of 4?

• 4 to the power of 1

• 4 to the power of 3

• 4 to the power of 2

• 4 to the power of 4

What is the power of power rule?

• A to the M divided by N equals A to the M minus N

• A to the M times N equals A to the M plus N

• A to the M raised to the N equals A to the M times N

• A to the M plus N equals A to the M times N

What is the first step in solving the equation 4X - 5 = 4(4X - 62)?

• Divide both sides by 4

• Multiply both sides by 4

• Subtract 4X from both sides

• Add 5 to both sides

What is the final value of X in the equation?

• X = 19

• X = 25

• X = 15

• X = 21