1.10 Rational exponents

1.10 Rational exponents Quiz

IB Maths: Applications and Interpretation HL: Quiz

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5 questions, one answer each

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1. Evaluate $32^{\frac35}$ .
- A. $\frac{96}{5}$
- B. $8$
- C. $16$
- D. $4$
2. For $x>0$ , $x^{-\frac12}$ equals which expression?
- A. $-\sqrt x$
- B. $-\frac12x$
- C. $\sqrt x$
- D. $\frac{1}{\sqrt x}$
3. Simplify $5^{\frac12}\times5^{\frac13}$ .
- A. $5^{\frac56}$
- B. $5^{\frac25}$
- C. $5^{\frac16}$
- D. $25^{\frac56}$
4. Simplify $6^{\frac34}\div6^{\frac12}$ .
- A. $6^{\frac32}$
- B. $6^{\frac38}$
- C. $6^{\frac14}$
- D. $6^{\frac54}$
5. Solve $x^{\frac23}=9$ .
- A. $6$
- B. $27$
- C. $81$
- D. $3$