Simplifying an expression using exponents, (22 + 1^3 - (3^4 - 7^2)) / 2^3

Simplifying an expression using exponents, (22 + 1^3 - (3^4 - 7^2)) / 2^3

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the order of operations using the PEMDAS method. It emphasizes the importance of following the correct sequence: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). The instructor demonstrates solving a complex expression by simplifying the numerator and denominator separately before performing division. The tutorial concludes with a step-by-step solution, highlighting the importance of adhering to the order of operations to achieve the correct result.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the 'P' in PEMDAS stand for?

Products

Parentheses

Proportions

Powers

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression 3^4 - 7^2, which operation should be performed first?

Division

Multiplication

Subtraction

Exponentiation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of 3^4?

49

64

81

27

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After simplifying the expression inside the parentheses, what is the next step according to the order of operations?

Calculate exponents outside the parentheses

Perform division

Add and subtract from left to right

Multiply and divide from left to right

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final simplified form of the expression given in the video?

-9/8

9/8

8/9

-8/9