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Applying the one to one property to solve an equation with exponents

Applying the one to one property to solve an equation with exponents

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the basic definition of the one-to-one property?

If X^a = X^b, then a must equal b.

If X^a = Y^b, then a must equal b.

If X^a = X^b, then a must be greater than b.

If X^a = Y^b, then a must be less than b.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you solve an equation with different bases using the one-to-one property?

By finding a common base for both sides.

By subtracting the exponents.

By multiplying the exponents.

By adding the bases together.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving an equation using the one-to-one property?

Multiply the bases.

Find a common base for the terms.

Add the exponents together.

Subtract the exponents.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of multiplying two exponents with the same base?

You divide the exponents.

You subtract the exponents.

You multiply the exponents.

You add the exponents.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you raise an exponent to another power?

You subtract the powers.

You divide the powers.

You add the powers.

You multiply the powers.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do before eliminating the bases in an equation?

Ensure the bases are different.

Ensure the exponents are equal.

Ensure the bases are the same.

Ensure the exponents are different.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to match the bases when using the one-to-one property?

To make the equation more complex.

To eliminate the bases.

To ensure the exponents are equal.

To simplify the equation.

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