Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org
• Exponents and Logarithms
• Tests in Exponents
• Rational exponents test

# Rational exponents test

ans:
syntax error
C
DEL
ANS
±
(
)
÷
×
7
8
9
4
5
6
+
1
2
3
=
0
.
auto next question
calculator
•  Question 1: 1 pts Which of these is correct:
 $a^{1/2} = \frac{1}{a^2}$ $a^{1/2} =\frac{1}{\sqrt{a}}$ $a^{1/2} =\sqrt{a}$
•  Question 2: 1 pts Which of these is correct:
 $a^{-\frac12} = -\frac{1}{a^2}$ $a^{-\frac12} = -\frac{1}{a^2}$ $a^{-\frac12} =\frac{1}{\sqrt{a}}$ $a^{-\frac12} =-\sqrt{a}$
•  Question 3: 1 pts Is the following statement true or false? $$a^{\frac{m}{n}}=\sqrt[n]{a^m}$$
•  Question 4: 2 pts Evaluate $$8^{\frac13}$$
 $1$ $2$ $3$ $4$
•  Question 5: 2 pts Evaluate $$4^{\frac32}$$
 $2$ $4$ $8$ $16$
•  Question 6: 2 pts Evaluate $$32^{\frac45}$$
 $2$ $4$ $8$ $16$
•  Question 7: 2 pts Evaluate $$(-8)^{\frac23}$$
 $1$ $2$ $3$ $4$
•  Question 8: 2 pts Is the following statement true or false? $$0^{-\frac12} = 0$$
•  Question 9: 2 pts Is the following statement true or false? $$(-1)^{-\frac{1}{2}} = 1$$
•  Question 10: 2 pts Is the following statement true or false? $$(-4)^{\frac32} = -8$$
•  Question 11: 2 pts Is the following statement true or false? $$-4^{\frac32} = -8$$
•  Question 12: 2 pts Simplify $$a^{\frac12}\cdot a^{\frac32}$$
 $a^{\frac34}$ $a^{\frac43}$ $a$ $a^2$
•  Question 13: 3 pts Simplify $$\frac{x^2 \cdot x^{\frac32}}{x^{\frac12}}$$
 $x$ $x^2$ $x^3$ $x^4$
•  Question 14: 3 pts Simplify $$\frac{a^3 \cdot a^{\frac14}}{a^{\frac54} \cdot a^{-\frac32}}$$
 $a^3\sqrt{a}$ $a^2\sqrt{a}$ $a^2$