Simplify Expressions With Rational Exponents

Practice Questions

Pre-Calculus › Simplify Expressions With Rational Exponents

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1

Solve:

$x^{\frac{1}{3}} = 2$

2

Evaluate $\frac{3xz^{\frac{1}{3}}}{(6x)^{\frac{1}{2}}y^{2}z^{3}}$ when $x=2,y=3^{\frac{1}{4}}, z=8$

3

Simplify

$\frac{9^{\frac{2}{3}}\cdot 3^{\frac{5}{3}}}{6^{2}}$

4

Evaluate the following expression using knowledge of the properties of exponents:

$8^\frac{2}{3}+(2^2)^2-(3)^3\left(\frac{1}{3}\right)^3+\frac{5^{19}}{5^{17}}-647^0$

5

Solve for .

$x^{5/2}-12x^{3/2}+20x^{1/2}=0$

6

Solve:

$3x^{\frac{3}{4}} = x^{\frac{1}{2}}$

7

Simplify and rewrite with positive exponents:

$\frac{2a^3b^{28}c^2d^2e^4f}{3a^2b^{27}cd^3e^5f^2}$

8

What is the value of $125^\frac{1}{3}$ ?

9

Simplify the function:

$y = [((-7x+12)^{1/3})^3]^7$

10

Simplify the expression $4^{2.5}$ .

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