Understanding Negative Exponents

The video tutorial explains how to multiply polynomials with negative exponents. It covers the rules for multiplying exponents, including adding exponents when bases match and handling non-matching bases. Two examples are provided: one with matching bases and another with non-matching bases. The tutorial also demonstrates how to convert negative exponents to positive by rewriting them in the denominator.

What is the result of multiplying x^9 by x^-5?

• x^14

• x^5

• x^4

• x^-14

How can x^-14 be expressed with a positive exponent?

• 14x

• 1/x^14

• x^14

• x^-14

When multiplying a^-3 by b^5, why can't the exponents be added?

• The exponents are negative

• The bases are the same

• The bases are different

• The exponents are positive

How would you write a^-3 with a positive exponent?

• a^3

• 1/a^3

• a^-3

• 3a

What is the result of multiplying a^-3 by b^-5?

• a^3 * b^5

• a^3 * b^-5

• a^-3 * b^-5

• 1/(a^3 * b^5)

Which of the following is a correct way to handle negative exponents?

• Add them directly

• Multiply them by 2

• Ignore them

• Convert them to positive by using fractions