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Understanding Exponents and Simplifying Expressions

Understanding Exponents and Simplifying Expressions

Assessment

Interactive Video

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
8.EE.A.1, HSF.IF.A.2, 6.EE.A.1

Standards-aligned

Created by

Sophia Harris

FREE Resource

Standards-aligned

CCSS.8.EE.A.1
,
CCSS.HSF.IF.A.2
,
CCSS.6.EE.A.1
The video tutorial explains how to solve the equation 2M - 3N = 3 and find the value of 16^M divided by 64^N. It demonstrates converting 16 and 64 into powers of 4, manipulating exponents using power rules, and calculating the final result as 4 cubed, which equals 64.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is given at the start of the problem?

2M + 3N = 3

3M + 2N = 3

2M - 3N = 3

3M - 2N = 3

Tags

CCSS.6.EE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 16 be expressed in terms of powers of 4?

4^1

4^2

4^3

4^4

Tags

CCSS.8.EE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of applying the power of a power rule to 16^M?

4^(2M)

4^(M)

4^(4M)

4^(3M)

Tags

CCSS.8.EE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the expression 16^M / 64^N?

4^(2M - 3N)

4^(3M - 2N)

4^(M - N)

4^(3N - 2M)

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of 4^(2M - 3N) given 2M - 3N = 3?

16

32

128

64

Tags

CCSS.HSF.IF.A.2

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