Exploring Properties of Rational Exponents and Radicals

What is the result of adding the exponents when the bases are the same?

• Multiply the exponents

• Subtract the exponents

• Add the exponents

• Divide the exponents

How do you simplify a power of a power?

• Divide the exponents

• Multiply the exponents

• Subtract the exponents

• Add the exponents

What does a negative exponent indicate in terms of fraction positioning?

• The base moves to the denominator

• The base remains unchanged

• The base moves to the numerator

• The exponent becomes positive

What is the simplified form of a product raised to an exponent?

• The exponent is distributed to the product

• The exponent is added to the product

• The exponent is subtracted from the product

• The product is divided by the exponent

How do you handle a fraction under a radical to simplify it?

• None of the above

• Combine the numerator and denominator under one radical

• Separate the numerator and denominator under different radicals

• Multiply the fraction by the radical

What is the cube root of 27?

• 6

• 9

• 27

• 3

How do you simplify an expression with a cube root?

• Find three of a kind of the factors

• Square the factors

• Add the factors

• Divide the factors

When simplifying expressions with radicals, what must the denominator in a fraction be?

• A perfect square

• A whole number

• A radical

• A decimal

What is the result of multiplying a number by its conjugate?

• None of the above

• A difference of squares

• A sum of squares

• A cube of the number

What does the fifth root of 32 equal?

• 16

• 4

• 2

• 8