Exploring the Laws of Exponents

What happens when you multiply two exponents with the same base?

• You divide the exponents

• You add the exponents

• You multiply the exponents

• You subtract the exponents

If you have x squared times x to the third power, what is the result?

• x cubed

• x squared

• x to the sixth power

• x to the fifth power

When raising a power to another power, what operation is performed on the exponents?

• Subtraction

• Division

• Multiplication

• Addition

What is the result of (x squared) to the power of 3?

• x to the sixth power

• x to the fifth power

• x cubed

• x to the ninth power

How are exponents handled when raising a fraction to a power?

• The fraction is inverted

• Both the numerator and denominator are raised to the power

• Only the numerator is raised to the power

• Only the denominator is raised to the power

If you have (x/y) to the third power, how do you apply the exponent?

• x to the third over y

• x over y to the third

• x to the third over y to the third

• x over y cubed

What is the result of dividing two exponents with the same base?

• You divide the exponents

• You multiply the exponents

• You subtract the exponents

• You add the exponents

How is a negative exponent treated?

• It inverts the base

• It moves the base to the denominator

• It multiplies the base by -1

• It is ignored

What does x to the negative third power become when simplified?

• x to the third

• 1 over x to the third

• x cubed over 1

• 1 over x cubed

If x to the fifth over x to the third equals x squared, what law of exponents does this illustrate?

• Negative exponent rule

• Raising a power to a power

• Dividing exponents with the same base

• Multiplying exponents with the same base