Determine the same base to eliminate to solve an exponential equation

The video tutorial explains how to solve equations by rewriting expressions with the same base. It demonstrates the process of expressing 256 as a power of two and solving the equation by equating the exponents. The tutorial emphasizes the importance of having the same base to equate powers and solve for the variable.

What is the key idea when rewriting expressions with the same base?

• The expressions must be added.

• The exponents must be equal.

• The bases must be different.

• The expressions must be subtracted.

Which of the following is 2 raised to the power of 8?

• 64

• 128

• 256

• 512

What is the value of 2 to the power of 5?

• 128

• 64

• 32

• 16

In the equation 2^(X + 3) = 2^8, what is the value of X?

• 5

• 4

• 3

• 6

What is the process to solve an equation where the bases are the same?

• Equate the exponents.

• Subtract the exponents.

• Add the exponents.

• Multiply the exponents.