Mastering Negative Exponent Rules

This video tutorial covers the rules for working with negative exponents, including how to convert them into positive exponents by moving them between the numerator and denominator. It provides examples using the product, power, and quotient rules to solve exponent problems. The tutorial emphasizes the importance of not having negative exponents in the final answer and demonstrates how to simplify expressions accordingly.

Why is it important to convert negative exponents to positive exponents?

• Negative exponents are harder to calculate.

• Negative exponents are not considered proper.

• Negative exponents make the coefficient negative.

• Negative exponents are not allowed in any mathematical expressions.

What happens to a negative exponent in the numerator when converting it to a positive exponent?

• It stays in the numerator and becomes positive.

• It moves to the denominator and stays negative.

• It moves to the denominator and becomes positive.

• It stays in the numerator and becomes negative.

In the expression -3x^-7, what should be done to the x^-7 term?

• Change the coefficient to positive.

• Move it to the numerator and make it positive.

• Move it to the denominator and make it positive.

• Leave it as it is.

How do you handle a negative exponent in the denominator?

• Move it to the numerator and keep it negative.

• Leave it in the denominator and keep it negative.

• Leave it in the denominator and make it positive.

• Move it to the numerator and make it positive.

When using the product rule, what do you do with the coefficients?

• Add them.

• Subtract them.

• Multiply them.

• Divide them.

In the expression -3v^2 * v^-4, what is the simplified form of the v terms?

• v^6

• v^-2

• v^2

• v^-6

What is the result of applying the power rule to (3u^3)^3?

• 27u^9

• 9u^6

• 3u^6

• 27u^3

When using the quotient rule, what do you do with the exponents of like bases?

• Subtract them.

• Multiply them.

• Divide them.

• Add them.

In the expression 6m^1 / 4m^-3, what is the simplified form of the m terms?

• m^2

• m^-2

• m^4

• m^-4

What should be done with negative exponents in the final answer?

• Leave them as negative.

• Convert them to positive by moving them to the denominator.

• Ignore them.

• Convert them to positive by moving them to the numerator.