Exploring Negative and Zero Exponents

The video tutorial covers properties of exponents, focusing on negative and zero exponents. It explains how to simplify expressions using these properties, provides examples, and evaluates true or false statements. The tutorial also addresses common mistakes, such as Olga's error in simplification, and offers corrections.

What is the result of B to the power of 2 minus 5?

• B to the power of 5

• B to the power of -3

• B to the power of 3

• 1 over B to the power of 3

What does any number raised to the power of zero equal?

• Zero

• Undefined

• One

• The number itself

What happens to the exponent when a base with a negative exponent is flipped?

• The exponent becomes positive

• The exponent remains negative

• The base becomes zero

• The exponent becomes zero

Simplify H to the power of -6.

• 1 over H to the power of -6

• H to the power of -1

• 1 over H to the power of 6

• H to the power of 6

What is the simplified form of 10 to the power of 3 divided by 10 to the power of 4?

• 10 to the power of -1

• 1 over 10 to the power of 1

• 10 to the power of 1

• 10 to the power of 7

What is the result of 2 to the power of -4?

• 2 to the power of 4

• 1 over 2 to the power of 4

• 1 over 2 to the power of -4

• 2 to the power of -2

Simplify the expression: 5 to the power of 8 divided by 5 to the power of 8.

• 5 to the power of 16

• 5 to the power of -8

• 5 to the power of 0

• 1

What is the simplified form of a to the power of 4 times a to the power of -5 raised to the power of 2?

• a to the power of -1

• a to the power of -6

• 1 over a to the power of 6

• a to the power of 6

What is the result of m to the power of 3 times m to the power of -3 all raised to the power of 3?

• m to the power of 9 divided by n to the power of 9

• m to the power of 9 times n to the power of -9

• m to the power of 3 times n to the power of -3

• m to the power of 9 divided by n to the power of 3

What is the correct simplified expression for x to the power of 4 plus 4 divided by x to the power of -8?

• x to the power of 0

• x to the power of 8

• x to the power of 16

• x to the power of -8