Exponent Rules and Negative Exponents Explained

The video tutorial explains how to simplify expressions with negative exponents through examples. It starts with a basic example using numbers, then moves on to fractions, and finally covers variables. The concept of 'flipping' the base to remove the negative sign is emphasized. A practice problem is provided for viewers to solve, followed by a solution explanation.

What is the simplified form of 2 to the power of -3?

• 1/2

• 2

• 1/8

• 8

What does the negative exponent indicate in 2 to the power of -3?

• Multiply by 2

• Flip the base

• Divide by 2

• Add 2

How do you simplify 3/4 to the power of -2?

• 16/9

• 3/4

• 4/3

• 9/16

What happens to the exponent when you flip the base of a fraction?

• It becomes negative

• It becomes zero

• It becomes positive

• It doubles

What is the simplified form of (3/4)^-2?

• 16/9

• 9/16

• 4/3

• 3/4

In the expression x^-3 * y^4, what happens to x?

• It becomes zero

• It moves to the numerator

• It moves to the denominator

• It stays the same

In the expression x^-3 * y^4, what happens to y?

• It stays the same

• It moves to the denominator

• It moves to the numerator

• It becomes zero

What is the simplified form of x^-3 * y^4?

• x^3 / y^4

• y^4 / x^3

• y^4 * x^3

• x^3 * y^4

What is the simplified form of 4^-2 * x^3?

• 16 / x^3

• x^3 / 16

• x^3 * 4^2

• 4^2 * x^3

What is 4^-2 equal to?

• 16

• 4

• 1/16

• 1/4