Exponents and Basic Operations

The video tutorial covers homework topics on rules of exponents, order of operations, and prime factorization. It includes solving problems using these concepts, such as squaring numbers, dividing exponents, and working with parentheses. The teacher demonstrates using a calculator for repeated multiplication and introduces the 'Box It, Solve It, Rewrite It' method for solving equations.

What are the main topics covered in tonight's homework?

• Geometry and algebra

• Rules of exponents, order of operations, and prime factorization

• Trigonometry and calculus

• Statistics and probability

In problem number two, what is the first operation performed?

• Multiplying by zero

• Squaring the number six

• Subtraction

• Addition

What is the result of 5 raised to the power of zero?

• Undefined

• 5

• 0

• 1

What is the value of 12 cubed?

• 1728

• 144

• 12

• 36

When dividing exponents with like bases, what operation is performed on the powers?

• Addition

• Subtraction

• Division

• Multiplication

In problem number five, what is the result of 2 to the power of 3 divided by 2 to the power of 1?

• 1

• 8

• 4

• 2

What is the final answer for problem number five?

• 25

• 100

• 196

• 49

In problem number six, what is the first step inside the parentheses?

• Add 3 and 5

• Divide 3 by 5

• Multiply 3 by 5 squared

• Subtract 5 from 3

What is the result of 5 squared?

• 10

• 15

• 5

• 25

What is the final result of 75 cubed?

• 421,000

• 421,875

• 421,750

• 420,000