Solving an equation by converting to the same base and using equality

The video tutorial explains how to rewrite equations by ensuring equal denominators and using properties of powers and bases. It demonstrates the process of simplifying and solving equations through step-by-step application of mathematical properties, concluding with the final solution and an invitation for questions.

What is the first step in ensuring two expressions can be equalized?

• Rewriting them with the same base

• Adding them together

• Multiplying by a common factor

• Subtracting one from the other

How can the number 64 be rewritten using a fraction with a negative exponent?

• 4 raised to the power of -3

• 4 raised to the power of 3

• 1/4 raised to the power of -3

• 1/4 raised to the power of 3

What property is applied when multiplying exponents in the expression 1/4 raised to the power of 2X + 2?

• Product Property

• Power to a Power Property

• Equality Property

• Distributive Property

What is the result of solving the equation 2X + 2 = -3X + 3?

• X = -1/5

• X = -5

• X = 5

• X = 1/5

Which property is used to simplify the expression 1/4 raised to the power of -3X?

• Product Property

• Distributive Property

• Equality Property

• Power to a Power Property