Radical Functions and Rational Exponents Quiz

Test your understanding of radical expressions & exponents with these 17 questions on simplification & value calculation.

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What is the simplified form of √(16x^6)

4x^3

2x^3

8x^3

4x^6

What is (27x^4)^(1/3) equivalent to?

3x^4

9x^4

What is the simplified form of √(9x^2) + √(16x^4)?

5x^3

7x^3

5x^4

7x^4

What is the value of (64x^6)^(1/6)?

4x^2

8x^2

What is the simplified form of (√(4x^5) * √(25x^3)) / (2x^2)?

5x^(5/2)

10x^(5/2)

5x^(7/2)

10x^(7/2)

What is the value of (125x^6)^(-1/3)?

5x^2

5x^3

5x^4

What is the value of √(25x^8) / √(5x^2)?

5x^3

5x^4

5x^5

5x^6

What is the simplified form of (8x^3y^2)^(-2/3)?

2x^2y^2

4x^2y^2

8x^2y^2

16x^2y^2

What is the simplified form of (√(x^2) * √(x^6)) / x?

x^3

x^4

x^5

x^6

#10

What is the simplified form of (27x^4)^(2/3)?

9x^2

9x^3

81x^2

81x^3

#11

What is the simplified form of (81x^9)^(1/2)?

9x^4.5

9x^5

9x^4

9x^3

#12

What is the simplified form of (16x^6y^4)^(-1/2)?

2x^3y^2

4x^3y^2

2x^3y

4x^3y

#13

What is the simplified form of (x^(-3/4) * y^(1/2))^2?

x^(-3/2) * y

x^(-3/2) * y^(1/2)

x^(3/2) * y

x^(3/2) * y^(1/2)

#14

What is the simplified form of (x^(1/3) * y^(1/4))^6?

x^2 * y^(3/2)

x^2 * y^(3/4)

x^6 * y^(1/2)

x^6 * y^(1/4)

#15

What is the simplified form of (x^(3/2) * y^(1/3))^3?

x^4.5 * y

x^4.5 * y^(1/3)

x^4.5 * y^(2/3)

x^4.5 * y^(3/2)

#16

What is the simplified form of (x^(5/3) * y^(1/4))^2?

x^(10/3) * y^(1/2)

x^(10/3) * y^(1/4)

x^(10/3) * y^(1/6)

x^(5/3) * y^(1/2)

#17

What is the simplified form of (x^(7/4) * y^(1/2))^4?

x^7y^2

x^(7/4)y^2

x^(7/4)y

x^7y

Radical Functions and Rational Exponents Quiz

What is the simplified form of √(16x^6)

What is (27x^4)^(1/3) equivalent to?

What is the simplified form of √(9x^2) + √(16x^4)?

What is the value of (64x^6)^(1/6)?

What is the simplified form of (√(4x^5) * √(25x^3)) / (2x^2)?

What is the value of (125x^6)^(-1/3)?

What is the value of √(25x^8) / √(5x^2)?

What is the simplified form of (8x^3y^2)^(-2/3)?

What is the simplified form of (√(x^2) * √(x^6)) / x?

What is the simplified form of (27x^4)^(2/3)?

What is the simplified form of (81x^9)^(1/2)?

What is the simplified form of (16x^6y^4)^(-1/2)?

What is the simplified form of (x^(-3/4) * y^(1/2))^2?

What is the simplified form of (x^(1/3) * y^(1/4))^6?

What is the simplified form of (x^(3/2) * y^(1/3))^3?

What is the simplified form of (x^(5/3) * y^(1/4))^2?

What is the simplified form of (x^(7/4) * y^(1/2))^4?

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