Numbers and Algebra: Negative Integer powers

The video tutorial guides students through solving exercises involving negative integer powers. It begins with an introduction to the problem and then demonstrates two examples. The first example uses the multiplication rule of powers, showing how to simplify expressions by adding exponents. The second example applies the division rule, illustrating how to subtract exponents to simplify expressions. The tutorial concludes with the successful completion of the exercises, symbolized by raising a success flag.

What is the result of X to the power 7 multiplied by X to the power -4 and X to the power -3?

• X to the power 10

• X to the power 1

• X to the power 0

• X to the power -10

Which rule is applied when multiplying powers with the same base?

• Subtraction of powers

• Multiplication of powers

• Addition of powers

• Division of powers

In the division of powers, what operation is performed on the exponents?

• Addition

• Subtraction

• Division

• Multiplication

What is the simplified form of X to the power 2 divided by X to the power 4, X to the power 5, and multiplied by X to the power 8, all raised to the power -3?

• X to the power 3

• 1 / X to the power -3

• 1 / X to the power 3

• X to the power -3

What is the result of simplifying X to the power -3 using negative integer powers?

• X to the power 3

• 1 / X to the power 3

• X to the power -1

• 1 / X to the power -1