Math Calculators, Lessons and Formulas

It is time to solve your math problem

• Math Tests
• ::
• Exponents and Logarithms
• ::
• Tests in Exponents
Test Title:

# Tests in Exponents

There are 4 tests inside this topic. Click the button below to change currently active quiz.

Chose a test inside this category.
Note: These tests should be done in suggested order.

Current: Test in Rational Exponents
•  Q1: 1 pts Which of these is correct:
 $a^{1/2} = \frac{1}{a^2}$ $a^{1/2} =\frac{1}{\sqrt{a}}$ $a^{1/2} =\sqrt{a}$
•  Q2: 1 pts Which of these is correct:
 $a^{-\frac12} = -\frac{1}{a^2}$ $a^{-\frac12} = -\frac{1}{a^2}$ $a^{-\frac12} =\frac{1}{\sqrt{a}}$ $a^{-\frac12} =-\sqrt{a}$
•  Q3: 1 pts Is the following statement true or false? $$a^{\frac{m}{n}}=\sqrt[n]{a^m}$$
•  Q4: 2 pts Evaluate $$8^{\frac13}$$
 1 2 3 4
•  Q5: 2 pts Evaluate $$4^{\frac32}$$
 2 4 8 16
•  Q6: 2 pts Evaluate $$32^{\frac45}$$
 2 4 8 16
•  Q7: 2 pts Evaluate $$(-8)^{\frac23}$$
 1 2 3 4
•  Q8: 2 pts Is the following statement true or false? $$0^{-\frac12} = 0$$
•  Q9: 2 pts Is the following statement true or false? $$(-1)^{-\frac{1}{2}} = 1$$
•  Q10: 2 pts Is the following statement true or false? $$(-4)^{\frac32} = -8$$
•  Q11: 2 pts Is the following statement true or false? $$-4^{\frac32} = -8$$
•  Q12: 2 pts Simplify $$a^{\frac12}\cdot a^{\frac32}$$
 $a^{\frac34}$ $a^{\frac43}$ $a$ $a^2$
•  Q13: 3 pts Simplify $$\frac{x^2 \cdot x^{\frac32}}{x^{\frac12}}$$
 x x2 x3 x4
•  Q14: 3 pts Simplify $$\frac{a^3 \cdot a^{\frac14}}{a^{\frac54} \cdot a^{-\frac32}}$$
 $a^3\sqrt{a}$ $a^2\sqrt{a}$ $a^2$