Rewriting two exponents to the same base so you can use the one to one property to solve

The video tutorial explains how to rewrite fractions using negative exponents and find a common base for different numbers. It demonstrates the process of rewriting numbers like 4 and 8 as powers of 2, allowing the application of the one-to-one property. This property helps solve exponential equations by equating the exponents once the bases are the same. The tutorial concludes with solving an equation and finding the final answer.

What is the equivalent expression for 1/4 using exponents?

• 4^-1

• 2^2

• 2^-2

• 4^1

Which number can be used as a common base for both 4 and 8?

• 3

• 5

• 6

• 2

What is the expression for 8 using base 2?

• 2^2

• 2^5

• 2^3

• 2^4

What property allows you to set exponents equal when the bases are the same?

• Distributive Property

• Associative Property

• Commutative Property

• One-to-One Property

What is the final solution for the equation after applying the one-to-one property?

• X = 7/8

• X = 3/4

• X = 4/3

• X = 8/7