Understanding Exponents and Their Properties

Mr. Kosinski explains how to identify equivalent expressions involving exponents. The tutorial covers simplifying expressions, dividing and multiplying bases with the same exponents, and handling different bases with the same power. It also addresses negative exponents and provides strategies for recognizing equivalent expressions.

What is the main difference between part one and part two of the lesson?

• Part two is about addition of exponents.

• Part two does not allow more than one answer.

• Part two focuses on negative exponents.

• Part two allows multiple answers.

How do you simplify 10 to the power of negative 32?

• 10 to the power of 32

• 1 over 10 to the power of 32

• 10 to the power of negative 64

• 1 over 10 to the power of negative 32

What is the equivalent expression for 1 over 10 to the power of 32?

• 10 to the power of 32

• 10 to the power of negative 32

• 10 to the power of negative 64

• 1 over 10 to the power of negative 32

What is the equivalent expression for 1 over 10 to the power of 32?

• 10 to the power of negative 64

• 10 to the power of 32

• 1 over 10 to the power of negative 32

• 10 to the power of negative 32

What is the result of dividing 12 by 4 when both have the same exponent?

• 1

• 6

• 3

• 4

What is the result of 3 squared?

• 3

• 1

• 9

• 6

What is the result of 3 squared?

• 6

• 9

• 1

• 3

When multiplying numbers with the same base, what should you do with the exponents?

• Divide them

• Multiply them

• Add them

• Subtract them

What is the result of 7 to the power of 9 times 1?

• 7 to the power of 9

• 7 to the power of 8

• 7 to the power of 0

• 7 to the power of 10

What is the result of 7 to the power of 9 times 1?

• 7 to the power of 10

• 7 to the power of 8

• 7 to the power of 9

• 7 to the power of 0