Exploring Exponents: Day 2 Concepts

The video tutorial covers exponent rules, focusing on zero and negative exponents. It explains how any number to the zero power equals one and how negative exponents require moving the base to the opposite part of a fraction to make the exponent positive. The tutorial includes examples of simplifying expressions with exponents and emphasizes the importance of handling negative exponents before applying other rules. Additionally, it discusses the power to a power rule, where exponents are multiplied when raising a power to another power.

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

• Undefined

• The number itself

• 0

• 1

What is the value of any base raised to zero?

• Infinity

• One

• Zero

• The base

How do you handle a negative exponent in the numerator?

• Leave it as is

• Square the base

• Convert to positive by adding

• Move the base to the denominator and make the exponent positive

If a negative exponent is in the numerator, where should the base be moved?

• It stays in the numerator

• It is eliminated

• It becomes zero

• It moves to the denominator

What happens to a base with a negative exponent in the denominator?

• It cancels out

• It is moved to the numerator and the exponent is made positive

• It remains unchanged

• It is squared

What is the result of moving a base with a negative exponent from the denominator to the numerator?

• The exponent becomes positive

• The exponent becomes zero

• The exponent becomes negative

• The base disappears

In simplifying expressions, what should be done first with negative exponents?

• Convert all to positive

• Move all to the numerator

• Move bases according to their position and convert exponents to positive

• Move all to the denominator

How do you simplify a fraction with negative exponents in both the numerator and the denominator?

• By multiplying exponents

• By moving bases and making exponents positive

• By subtracting exponents

• By adding exponents

When dealing with power to a power, what is the correct operation on the exponents?

• Multiply them

• Subtract them

• Divide them

• Add them

What should be done first when simplifying an expression with both a product and a power to a power?

• Convert all exponents to positive

• Handle the product first

• Handle the power to a power first

• Simplify the coefficients