Using the one to one property to solve a basic exponential equation

Using the one to one property to solve a basic exponential equation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the one-to-one property of exponents, demonstrating how to rewrite numbers to have the same base and equate their powers. It covers using inverse operations to solve equations and emphasizes the simplicity of setting powers equal when bases are the same. The tutorial concludes with a brief mention of more complex problems to be tackled later.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in using the one-to-one property for solving equations?

Set the powers equal to each other immediately.

Rewrite numbers with the same base.

Use inverse operations to simplify.

Rewrite the equation in terms of different bases.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When can you set the powers of exponents equal to each other?

When the equation is quadratic.

When the bases are different.

When the bases are the same.

When the exponents are negative.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do if you have exponents with the same base?

Multiply the exponents.

Divide the exponents.

Set the exponents equal to each other.

Add the exponents together.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of inverse operations in solving equations?

To eliminate the need for exponents.

To make the equation more complex.

To simplify and solve the equation.

To change the base of the exponents.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after setting the powers equal in an equation?

Solve for the variable using inverse operations.

Introduce a new variable.

Add more terms to the equation.

Change the base of the exponents.