Exploring Rational Exponents and Radicals

What does the numerator in a rational exponent represent?

• The coefficient

• The base

• The root

• The exponent

How do you denote a fourth root using a radical symbol?

• By writing a 1 inside the radical symbol

• By writing a 3 inside the radical symbol

• By writing a 2 inside the radical symbol

• By writing a 4 inside the radical symbol

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

• Square root of 25

• Cube root of 25

• Fifth root of 25

• Fourth root of 25

How do you convert the square root of x to exponential form?

• x^(1/4)

• x^(2/3)

• x^(1/2)

• x^(1/3)

What is the exponential form of the cubed root of (x * y)?

• (x * y)^(1/5)

• (x * y)^(1/3)

• (x * y)^(1/4)

• (x * y)^(1/2)

When simplifying expressions using exponent properties, what should you do with coefficients?

• Divide them

• Add them

• Subtract them

• Multiply them

What is the simplified form of 2^4 * 2^(1/2)?

• 2^(9/2)

• 2^(8/2)

• 2^(7/2)

• 2^(6/2)

How do you write 64^(2/3) in radical form?

• Fourth root of 64 squared

• Square root of 64 cubed

• Fifth root of 64 cubed

• Cube root of 64 squared

What is the exponential form of the fourth root of (6a)?

• (6a)^(1/5)

• (6a)^(1/2)

• (6a)^(1/3)

• (6a)^(1/4)

What is the radical form of 210 * p^(13/6) * r^(13/20)?

• 210 * sixth root of p^13 * twentieth root of r^13

• 210 * sixth root of p^12 * twentieth root of r^12

• 210 * fifth root of p^12 * twentieth root of r^12

• 210 * fifth root of p^13 * twentieth root of r^13