Laws of indices and surds

Laws of indices and surds Quiz

Spec 1.1–2 · Edexcel International A Level Maths: Quiz

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5 questions, one answer each

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1. Find the value of $8^{-\frac23}$ .
- A. $-4$
- B. $\frac1{64}$
- C. $\frac14$
- D. $4$
2. Simplify $\dfrac{(3x^2)^3}{9x^4}$ .
- A. $3x^2$
- B. $9x^2$
- C. $3x^{10}$
- D. $27x^2$
3. Simplify $\sqrt{72}-\sqrt{18}$ .
- A. $\sqrt{54}$
- B. $9\sqrt2$
- C. $6\sqrt2$
- D. $3\sqrt2$
4. Rationalise the denominator of $\dfrac{10}{\sqrt7-2}$ .
- A. $\frac{10(\sqrt7-2)}{3}$
- B. $\frac{10\sqrt7+20}{3}$
- C. $\frac{10\sqrt7+20}{5}$
- D. $\frac{10}{\sqrt7+2}$
5. Solve $9^x=27$ .
- A. $3$
- B. $\frac23$
- C. $\frac32$
- D. $18$