Solving an equation by converting a rational base to a negative exponent

The video tutorial explains how to use properties of exponents to solve equations. It begins with a review of the equality rule and demonstrates how to transform fractions to have the same base. The tutorial then applies the power of power rule to solve an equation, emphasizing the importance of consistent bases. The solution process is detailed, including the use of the distributive property, and concludes with finding the value of X. The session ends with a review and an invitation for questions.

What is the equality rule for exponents when the bases are the same?

• X > Y

• B < 1

• B = 0

• X = Y

How can 1/64 be rewritten using exponent rules?

• 8^2

• 64^-1

• 8^-2

• 64^2

What is the rule for a power raised to another power?

• A^(M+N)

• A^(M*N)

• A^(M-N)

• A^M * A^N

What is the final solution for X in the equation?

• 2/3

• 3/4

• 4/5

• 1/2

Which property is applied to ensure no mental mistakes are made during distribution?

• Equality property

• Fraction property

• Distributive property

• Power of a power rule