Simplifying Radical Expressions with Variables

What is the equivalent exponent form of the square root of a number?

• 3 power

• 1/2 power

• 2 power

• 1/3 power

How can you simplify the expression (25 * X^6 * Y^5)^(1/2)?

• 25^(1/2) * X^3 * Y^(5/2)

• 25^(1/2) * X^6 * Y^5

• 25^(1/2) * X^3 * Y^5

• 25^(1/2) * X^6 * Y^(5/2)

What is the simplified form of 25^(1/2)?

• 10

• 15

• 5

• 20

How can you express Y^(5/2) in another form?

• Y^3 * Y^(1/3)

• Y^2 * Y^(1/3)

• Y^3 * Y^(1/2)

• Y^2 * Y^(1/2)

What is the fourth root of 32 * R^6 * S?

• (32 * R^6 * S)^(1/2)

• (32 * R^6 * S)^(1/5)

• (32 * R^6 * S)^(1/4)

• (32 * R^6 * S)^(1/3)

How do you simplify the expression (32 * R^6 * S * 2 * R * S^4) / (4 * R^3 * S^2)?

• 16 * R^4 * S^3

• 8 * R^3 * S^2

• 8 * R^4 * S^3

• 16 * R^3 * S^2

What is the fourth root of 16?

• 2

• 4

• 3

• 5

How do you simplify R^4 to the 1/4 power?

• R^3

• R^4

• R^2

• R

What is the simplified form of S^(3/4)?

• S^(1/3)

• S^(3/4)

• S^(1/4)

• S^(1/2)

What is the key to simplifying complex expressions involving exponents and radicals?

• Multiplying all terms

• Using careful bookkeeping and canceling common factors

• Ignoring common factors

• Adding all exponents