Using the property of equality to solve equations with exponents

Using the property of equality to solve equations with exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the property of equality in the context of exponential functions. It guides students through the process of matching bases in exponential equations, applying the power of power rule, and using the distributive property to simplify expressions. Finally, it demonstrates solving linear equations using the property of equality, emphasizing the importance of having the same base for simplification.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary concept introduced alongside exponential functions in this lesson?

Property of Inequality

Property of Equality

Distributive Property

Power of a Power Rule

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you rewrite the base 9 using base 3?

9 = 3^3

9 = 3^2

9 = 3^1

9 = 3^0

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What rule is applied after rewriting the bases to solve the equation?

Addition Rule

Subtraction Rule

Power of a Power Rule

Division Rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property is used to simplify the equation after applying the power of a power rule?

Associative Property

Distributive Property

Commutative Property

Identity Property

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of equation do we end up with after using the property of equality?

Quadratic Equation

Exponential Equation

Polynomial Equation

Linear Equation