Using one to one property when exponents do not have the same base, 25^(x+3) = 5

The video tutorial explains the use of the one-to-one property in solving equations involving exponents. It begins by introducing the concept and the necessity of rewriting numbers to have the same base. The tutorial then demonstrates how to apply the one-to-one property and the power rule of exponents. Finally, it shows the process of solving the equation using the distributive property, resulting in the solution of the equation.

What is the purpose of rewriting 25 as 5 squared in the context of the one-to-one property?

• To ensure both sides have the same base

• To simplify the expression

• To make the equation more complex

• To change the value of the expression

Which mathematical rule is applied when an exponent is raised to another power?

• Power Rule

• Subtraction Rule

• Division Rule

• Addition Rule

Why is it important to rewrite the number 5 on the right-hand side as 5 to the first power?

• To make the equation more complex

• To simplify the equation

• To apply the one-to-one property

• To change the base

What is the result of applying the distributive property in the given equation?

• Two X equals negative 5 halves

• Two X equals 5

• Two X equals negative 5

• Two X equals 5 halves

What is the final step in solving the equation after applying the one-to-one property and power rule?

• Multiply both sides by 2

• Add 6 to both sides

• Subtract 6 from both sides

• Divide both sides by 5