4.08 Rules of indices

What does an index number show in mathematics?

• How many times a term has been added to itself.

• How many times a term has been divided by itself.

• How many times a term has been subtracted from itself.

• How many times a term has been multiplied by itself.

What is the value of any term raised to the power of 0?

• 0

• 1

• The value of the term itself

• Undefined

What do you do with the indices when you multiply terms with the same base number?

• You divide the indices.

• You subtract the indices.

• You add the indices.

• You do nothing with the indices.

What do you do with the indices when you divide terms with the same base number?

• You add the indices.

• You multiply the indices.

• You subtract the indices.

• You raise the indices to a power.

What do you do with the indices when you raise a power to another power?

• You subtract the indices.

• You divide the indices.

• You add the indices.

• You multiply the indices.

What is the result of any non-zero number raised to the power of 1?

• 0

• 1

• The value of the number itself

• Undefined

When simplifying an expression with multiple indices, what is the first step?

• Combine like terms by adding the indices.

• Combine like terms by multiplying the indices.

• Apply the distributive property to combine the indices.

• Identify and operate on terms with the same base.

How do you simplify a term with a negative exponent?

• By dividing the term by its base.

• By multiplying the term by its base.

• By taking the reciprocal of the base and making the exponent positive.

• By subtracting the exponent from the base.