Using the same base of exponents to solve using the equality property

The video tutorial explains how to solve exponential equations by setting exponents equal when the bases are the same. It demonstrates converting fractions to negative exponents and solving for unknown variables using these principles. The example used involves rewriting 1/32 as a power of two and solving the equation 2^(X+1) = 2^(-5) to find the value of X.

What is the key rule when setting exponents equal to each other?

• The bases must be different.

• The exponents must be positive.

• The exponents must be negative.

• The bases must be equal.

How can you express 1/32 as a power of two?

• 2 to the power of -5

• 2 to the power of 5

• 2 to the power of -4

• 2 to the power of 4

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

• 16

• 8

• 64

• 32

If 2^(X+1) equals 2^(-5), what is the value of X?

• -6

• -5

• -4

• -7

What is the result of subtracting 1 from both sides of the equation -5 = X + 1?

• X = -6

• X = -5

• X = -7

• X = -4