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 x⁴ × √x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
Question 2
Write ∜(x) as a power of x.
- A. x^(1/4)
- B. x^(4)
- C. x^(-3)
- D. x^(4/1)
Question 3
Which is equal to 1/∛x?
- A. x^(1/3)
- B. −x^(1/3)
- C. x^(−1/3)
- D. x^(3/1)
Question 4
Write x × ∛x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
Question 5
Write ⁵√(x⁶) as a power of x.
- A. x^(30)
- B. x^(1)
- C. x^(−6/5)
- D. x^(6/5)
Question 6
Which is equal to 1/∛(x⁵)?
- A. x^(−5/3)
- B. x^(3/5)
- C. −x^(5/3)
- D. x^(−3/5)
Question 7
Write x³ × √x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
Question 8
Write ∛(x²) as a power of x.
- A. x^(3/2)
- B. x^(-1)
- C. x^(6)
- D. x^(2/3)
Question 9
Which is equal to 1/√(x³)?
- A. x^(3/2)
- B. −x^(3/2)
- C. x^(2/3)
- D. x^(−3/2)
Question 10
Write x² × √x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
Question 11
Write ∜(x⁷) as a power of x.
- A. x^(−7/4)
- B. x^(7/4)
- C. x^(28)
- D. x^(4/7)
Question 12
Which is equal to 1/∛(x⁵)?
- A. x^(−5/3)
- B. −x^(5/3)
- C. x^(−3/5)
- D. x^(5/3)
Question 13
Write x³ × ∛x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
Question 14
Write ⁵√(x) as a power of x.
- A. x^(-4)
- B. x^(5)
- C. x^(1/5)
- D. x^(−1/5)
Question 15
Which is equal to 1/√x?
- A. x^(2/1)
- B. x^(−2)
- C. x^(1/2)
- D. x^(−1/2)
Question 16
Write x⁵ × ∛x as a single power of x. Give the exponent as a fraction.
Answer(as a fraction)
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