Exponential Equations and Properties

Exponential Equations and Properties

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
6.EE.A.1, HSF.BF.B.5

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.6.EE.A.1
,
CCSS.HSF.BF.B.5
The video tutorial explains how to solve exponential equations by ensuring the bases are the same. It covers three examples: rewriting 36 as 6 squared, expressing 64 and 16 as powers of 4, and expressing 81 as a power of 9. An alternate method for solving the second example using powers of 2 is also demonstrated.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the key property used to solve exponential equations with the same base?

The exponents are equal.

The bases are added.

The exponents are subtracted.

The bases are multiplied.

Tags

CCSS.6.EE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example A, what is the exponent of 6 when 36 is rewritten as a power of 6?

3

1

2

4

Tags

CCSS.HSF.BF.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation 6^x = 36?

2

1

4

3

Tags

CCSS.6.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example B, 64 is rewritten as a power of which number?

3

2

5

4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation 4^(3x) = 4^2?

2/3

1/2

3/4

1

Tags

CCSS.6.EE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example C, 81 is rewritten as a power of which number?

9

8

10

7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation 9^(2x+1) = 81?

2/3

1

1/3

1/2

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