Exploring the Laws of Exponents: Zero and Base Rule

Miss Smith introduces her math tutorial series, focusing on the laws of exponents. In this video, she explains the zero rule, which states that any number raised to the power of zero equals one, and the base rule, which states that any number raised to the power of one is the number itself. She provides examples to illustrate these rules and concludes with a preview of future topics, including the product rule and power to power rule.

What is the result of any number raised to the power of zero?

• Undefined

• 1

• The same number

• 0

If you have a variable 'x' raised to the power of zero, what would be the result?

• 0

• x

• It depends on the value of x

• 1

If a complicated expression inside parentheses is raised to the power of zero, what is the result?

• 0

• It cannot be determined

• The expression itself

• 1

What is the value of 145 raised to the power of 0?

• Undefined

• 0

• 1

• 145

According to the zero rule, what is the result of any expression, no matter how complex, raised to the power of 0?

• The expression simplified

• 0

• 1

• The base number of the expression

What does the base rule state about any number or variable raised to the power of 1?

• It becomes 1

• It remains unchanged

• It doubles

• It becomes 0

According to the base rule, what is the result of 10 raised to the power of 1?

• 0

• 11

• 10

• 1

What is the outcome when any base is raised to the exponent of 1?

• The base plus one

• The base itself

• 0

• 1

If 'x' is any variable, what is x to the power of 1 equal to?

• 0

• x+1

• 1

• x

What does the base rule imply for a number like a million raised to the power of 1?

• 1

• 10

• A million

• 0