Laws of indices and surds Quiz

1. Simplify $\frac{(2x^3)^2}{4x^4}$.

• A. $x^2$
• B. $2x^2$
• C. $x^{10}$
• D. $x$

2. Evaluate $27^{\frac{2}{3}}$.

• A. $18$
• B. $6$
• C. $3$
• D. $9$

3. Rationalise the denominator of $\frac{4}{\sqrt{5}-1}$.

• A. $4\sqrt5+4$
• B. $\sqrt5+1$
• C. $\sqrt5-1$
• D. $\frac{4}{\sqrt5+1}$

4. Which is equal to $\sqrt{48}-\sqrt{12}$?

• A. $\sqrt{36}$
• B. $6$
• C. $2\sqrt3$
• D. $4\sqrt3$

5. Given $x^{\frac32}=64$ for $x>0$, find $x$.

• A. $32$
• B. $16$
• C. $8$
• D. $4$