Quiz for:
Simplifying Radicals with Variables and Exponents

Question 1

How is \( \sqrt[3]{x^5 y^9 z^{14}} \) split based on the exponents?

Question 2

When simplifying \( \sqrt{x^5} \), how do you handle the pairs of x's?

Question 3

When simplifying \( \sqrt{32} \), how do you break down the term for simplification?

Question 4

In the expression \( \sqrt{50 x^3 y^{18}} \), what is the simplified form of \( \sqrt{50} \)?

Question 5

How would you simplify the expression \( \sqrt{x^7} \)?

Question 6

What is the outcome when simplifying \( \sqrt[3]{x^5 y^9 z^{14}} \)?

Question 7

What does \( \sqrt{200y^5} \) simplify to?

Question 8

In the expression \( \sqrt{50 x^3 y^{18}} \), what does \( \sqrt{y^{18}} \) simplify to?

Question 9

What is the simplified form of \( \sqrt{x^8} \)?

Question 10

How would \( \sqrt{81x^4y^2} \) simplify?

Question 11

For \( \sqrt[3]{27y^9} \), what is the simplified form?

Question 12

If you have \( \sqrt[3]{16 x^{14} y^{15} z^{20} / 54 x^2 y^9 z^{15}} \), what do you get after simplifying the numeric part?

Question 13

Which of the following results is correct for \( \sqrt[3]{54} \)?

Question 14

What is the result of simplifying \( \sqrt{75x^2y^4} \)?

Question 15

For \( \sqrt{32x^7y^{10}} \), how many times does 2 go into the exponent of x?