Exploring Division Properties of Exponents

What must be understood before learning about division properties of exponents?

• Addition properties of exponents

• Subtraction properties of exponents

• Multiplication properties of exponents

• Division properties of integers

What happens to the exponents when dividing powers with the same base?

• No change occurs

• They are added

• They are subtracted

• They are multiplied

What does the quotient of powers property allow you to do?

• Subtract exponents of like bases

• Multiply bases

• Add exponents of like bases

• None of the above

How is a power applied to a quotient in mathematical expressions?

• Only to the numerator

• To neither, it's ignored

• Only to the denominator

• To both the numerator and denominator

When simplifying a power of a quotient, what must be done to the exponents?

• Apply the exponent to both numerator and denominator

• Ignore the exponents

• Multiply the exponents

• Divide the exponents

What does the power of a quotient rule state about exponents?

• Exponents are divided

• Exponents are added

• Exponents are subtracted

• Exponents are applied to both the numerator and denominator

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

• Zero

• The number itself

• One

• Undefined

How do you handle negative exponents in an expression?

• Add them to zero

• Leave them as is

• Convert them to positive by moving to the opposite part of the fraction

• Multiply them by -1

What is the value of any base with a zero exponent?

• Infinity

• Zero

• One

• The base itself

How are negative exponents in the numerator handled?

• They are ignored

• They are moved to the denominator as positive exponents

• They are left as is

• They are squared