Exploring Negative Exponents in Algebra

What is the result of multiplying 3 to the second power with 3 to the third power?

• 6 to the third power

• 9 to the fifth power

• 3 to the sixth power

• 3 to the fifth power

What fundamental property of exponents is illustrated by multiplying two powers of 3?

• Division of exponents

• Addition of exponents

• Subtraction of exponents

• Multiplication of exponents

What is the general rule for multiplying powers with the same base?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents

What should 3 to the negative 2 power equal to maintain exponent properties?

• 3 to the fourth power

• 1 over 3 to the fourth power

• 3 squared

• 1 over 3 squared

What does any non-zero number raised to the 0-th power equal?

• Undefined

• 0

• 1

• The base itself

What is the result of 3 squared times 3 to the negative 2 power?

• 3 to the 0-th power

• 1

• 1 over 3 squared

• 3 squared

To maintain exponent properties, how should a negative exponent be interpreted?

• As division

• As a reciprocal

• As subtraction

• As a positive exponent

How do we define 3 to the negative 2 power based on exponent properties?

• 1 over 3 squared

• 1 over 3 to the fourth power

• 3 squared

• 3 to the fourth power

What does 3 to the negative 2 power simplify to?

• 3/9

• 1/9

• 9

• 1/3

What does raising a base to a negative exponent indicate?

• Subtraction from the base

• Reciprocal of the base raised to the positive exponent

• Division by the base

• Multiplication by the base