Exponential Equations and Properties

Exponential Equations and Properties

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
6.EE.A.1, 3.OA.D.9

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.6.EE.A.1
,
CCSS.3.OA.D.9
The video tutorial explains how to solve exponential equations by using like bases. It demonstrates that if two exponential expressions have the same base, their exponents must be equal. The tutorial provides two examples: one with base five and another with base three, showing step-by-step how to isolate the exponential part and equate the exponents. The video concludes with a brief mention of upcoming examples in the next video.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving exponential equations using like bases?

Multiply both sides by the base

Isolate the exponential part on one side

Subtract the base from both sides

Add the same number to both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 'a' to the power of 'm' equals 'a' to the power of 'n', what can be concluded?

m and n are unrelated

m is greater than n

m is equal to n

m is less than n

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the first example, what operation is used to isolate 'five raised to the power of x'?

Multiplication

Division

Addition

Subtraction

Tags

CCSS.6.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is 125 expressed as a power of five?

Five to the third

Five to the fifth

Five to the fourth

Five to the second

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x when 'five to the power of x' equals 'five to the third'?

4

3

2

1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second example, what is the first step to isolate 'three raised to the power of x'?

Subtract 32 from both sides

Divide both sides by 6

Multiply both sides by 6

Add 32 to both sides

Tags

CCSS.6.EE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is 243 expressed as a power of three?

Three to the third

Three to the fourth

Three to the fifth

Three to the sixth

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