Exploring the Properties of Exponents

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

• 0

• 1

• Undefined

• The number itself

What does a negative exponent signify in terms of the base?

• Multiplication by the base

• Reciprocal of the base raised to the positive exponent

• None of the above

• Division by the base

In the expression 3^3 * 3^2, what is the simplified form using the product of powers rule?

• 9^3

• 6^3

• 3^6

• 3^5

Using the MADS rule, what operation does 'D' stand for?

• Deduction

• Division

• Difference

• Duplication

What is the result of (x^3)^4 using the power of a power rule?

• x^3

• 12x

• x^12

• x^7

How do you apply the exponent to a product, for example (2x)^2?

• 2x^2

• 4x^2

• 4x

• 2^2 * x

What does the negative power of a quotient rule instruct you to do first?

• Square the numerator

• Take the reciprocal of the quotient

• Multiply the exponents

• None of the above

In the expression (3/2)^-5, what is the first step according to the negative power of a quotient rule?

• Raise 3 to the power of 5

• None of the above

• Raise 2 to the power of 5

• Flip the fraction to 2/3

What is the final result of simplifying the expression (x^2/y^3)^4?

• x^6/y^12

• x^8/y^12

• x^6/y^7

• x^8/y^7

How do you handle negative exponents when simplifying expressions?

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

• Ignore them

• Convert them to zero

• Multiply them by -1