Exploring Negative Exponents in the Law of Exponents

The video tutorial covers the concept of negative exponents, explaining how they work and how to simplify expressions involving them. It introduces the rule that to make a negative exponent positive, you move the base to the opposite part of the fraction. The tutorial provides several examples to illustrate these concepts, including complex cases and shortcuts for dealing with fractions raised to negative powers. The session concludes with a summary of key points and additional practice problems.

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

• -x^2

• x^2

• 1/x^2

• x^-2

How do you make a negative exponent positive?

• Move the base to the opposite part of the fraction

• Subtract 1 from the exponent

• Multiply the exponent by -1

• Add 1 to the exponent

What is 2 to the power of -4 simplified?

• 1/8

• 8

• 1/16

• 16

In the expression 2x^-3, what happens to the x term?

• It is multiplied by 2

• It becomes positive in the numerator

• It moves to the denominator

• It stays in the numerator

What is the simplified form of (1/2)^-2?

• 1/4

• 4

• 1/2

• 2

How do you simplify a fraction raised to a negative exponent?

• Subtract the exponent from both the numerator and denominator

• Add the exponent to both the numerator and denominator

• Flip the fraction and make the exponent positive

• Multiply the numerator and denominator by the exponent

What is the result of (6/7)^-2?

• 36/49

• 1/49

• 49/36

• 1/36

In the expression y/y^-2, what is the simplified form?

• y

• y^3

• y^2

• y^-1

What is the simplified form of 5x^-2?

• 5/x^2

• 5x^2

• 1/5x^2

• 1/25x^2

How do you simplify a^7 * a^-3?

• a^-4

• a^5

• a^4

• a^10