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Rewrite roots as fractional powers and back

10th grade (Year 11 in England) · 16 questions · Common Core: HSN.RN.A.2 · England: GCSE Higher Algebra

Name

Date

Score/ 16

Question 1
Write x² × √x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
2
Question 2
Which is equal to 1/√(x³)?
- A. −x^(3/2)
- B. x^(−3/2)
- C. x^(2/3)
- D. x^(3/2)
3
Question 3
Write ∜(x⁵) as a power of x.
- A. x^(5/4)
- B. x^(−5/4)
- C. x^(20)
- D. x^(4/5)
Question 4
Write x⁴ × ∛x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
5
Question 5
Which is equal to 1/√(x³)?
- A. −x^(3/2)
- B. x^(2/3)
- C. x^(−3/2)
- D. x^(−2/3)
6
Question 6
Write ⁵√(x⁴) as a power of x.
- A. x^(4/5)
- B. x^(-1)
- C. x^(5/4)
- D. x^(−4/5)
Question 7
Write x × √x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
8
Question 8
Which is equal to 1/√(x³)?
- A. x^(−3/2)
- B. x^(−2/3)
- C. x^(3/2)
- D. x^(2/3)
9
Question 9
Write ∛(x²) as a power of x.
- A. x^(3/2)
- B. x^(-1)
- C. x^(2/3)
- D. x^(−2/3)
Question 10
Write x³ × ∛x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
11
Question 11
Which is equal to 1/√(x³)?
- A. x^(−3/2)
- B. x^(−2/3)
- C. x^(3/2)
- D. −x^(3/2)
12
Question 12
Write ∛(x²) as a power of x.
- A. x^(−2/3)
- B. x^(2/3)
- C. x^(-1)
- D. x^(6)
Question 13
Write x⁵ × ∛x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
14
Question 14
Which is equal to 1/√x?
- A. x^(−2)
- B. −x^(1/2)
- C. x^(−1/2)
- D. x^(2/1)
15
Question 15
Write ∜(x⁷) as a power of x.
- A. x^(28)
- B. x^(3)
- C. x^(7/4)
- D. x^(4/7)
Question 16
Write x³ × ∛x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)

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