Simplifying Expressions with Negative Exponents

This lesson teaches how to simplify expressions with negative exponents by applying known exponent rules. It explains that a base raised to a negative exponent moves to the opposite position (numerator or denominator) with a positive exponent. The video provides examples, such as simplifying 1 divided by 5 to the negative third and expressions with variables, illustrating the process of moving exponents and simplifying fractions.

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

• Negative one

• One

• Zero

• The base itself

How do you simplify 1 divided by 5 to the negative third power?

• 1/5 to the negative third power

• 5 to the negative third power

• 5 to the third power

• 1/5 to the third power

In the metaphor of the locked staircase, what does the negative exponent represent?

• A building

• A staircase

• A key to move the base

• A locked door

When simplifying 2 to the third raised to the negative third divided by 2 to the fifth, what is the final result?

• 1 over 2 to the 9th power

• 1 over 2 to the 14th power

• 2 to the 14th power

• 2 to the 9th power

In the expression x to the third times y to the fourth divided by x to the third times y to the negative third, what is the simplified form?

• x to the seventh

• y to the fourth

• x to the fourth

• y to the seventh