Basic Arithmetic and Exponent Rules

The video tutorial explains how to simplify a mathematical expression using the order of operations. It begins by addressing the innermost parentheses, then moves on to exponents and division within brackets. An alternative method for simplifying nine cubed divided by nine is demonstrated. The tutorial concludes with the final calculation and verification of the result using a graphing calculator.

What is the first step in simplifying the expression according to the order of operations?

• Simplify the innermost parentheses

• Simplify the exponents

• Perform multiplication

• Perform division

What is the result of eight minus two?

• Four

• Five

• Seven

• Six

What is the result of one plus eight?

• Ten

• Nine

• Eight

• Seven

After simplifying the innermost parentheses, what is the next step?

• Simplify the exponents

• Add the numbers

• Perform division

• Simplify within the brackets

What is the result of nine cubed divided by nine?

• Seven hundred twenty-nine

• Eighteen

• Eighty-one

• Nine

What is the result of nine times nine times nine?

• Eighty-one

• Nine hundred

• Seven hundred twenty-nine

• Six hundred

How can nine cubed divided by nine be simplified using exponent rules?

• By dividing the exponents

• By multiplying the exponents

• By subtracting the exponents

• By adding the exponents

What is the value of six squared?

• Thirty-six

• Forty-two

• Thirty

• Forty-eight

What is the final product of thirty-six times eighty-one?

• Two thousand nine hundred

• Two thousand eight hundred

• Three thousand

• Two thousand nine hundred sixteen

What is the purpose of using a graphing calculator in this context?

• To verify the final result

• To perform multiplication

• To simplify the expression

• To check the initial expression