Improve Your Math Skills with Rational Exponents Examples

College
Calculus and Analysis
Integral Calculus
Rational exponents and radicals

Recent questions in Rational exponents and radicals

Marcus Lane 2023-03-16

What is $\frac{\sqrt{7}}{\sqrt{11}}$ in simplest radical form?

Damon Turner 2023-01-01

What is the square root of $108$ in the simplest radical form?

cofak48 2022-08-05

Write in simplified radical form: $\sqrt[3]{128} =$
$\sqrt[5]{96 x^{20} y^{11}}$

Flambergru 2022-08-04

Rewrite with rational exponents.
$(\sqrt[13]{7 x^{2} y})^{3}$

Nelson Jennings 2022-07-27

Prove that if x is rational and $x \neq 0$ , then $\frac{1}{x}$ is rational.

DofotheroU 2021-03-18

The simplified form of the expression $\sqrt[3]{a} \sqrt[6]{a} in radical notation is \sqrt{a} .$

Wribreeminsl 2021-02-25

Use a right triangle to write the following expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function.
Given:
$\tan (\cos^{- 1} 5 x) = ?$

Bergen 2021-02-08

Combining radicals simplify the expression. Assume that all letters denote positive numbers.
$\sqrt{16 x} + \sqrt{x^{5}}$

allhvasstH 2021-02-05

The given expression using rational exponents. Then simplify and convert back to radical notation. Assume that all variables represent positive real numbers.
Given:
The expression is $\sqrt{81 a^{12} b^{20}}$

Dolly Robinson 2021-01-31

Find the exact value of each of the remaining trigonometric function of $θ .$
$\cos θ = \frac{24}{25}, 270^{\circ} < θ < 360^{\circ}$
$\sin θ = ?$
$\tan θ = ?$
$\sec θ = ?$
$\csc θ = ?$
$\cot θ = ?$

hexacordoK 2021-01-28

For the following exercises, use the compound interest formula, $A (t) = P {(1 + \frac{r}{n})}^{n t}$ .
Use properties of rational exponents to solve the compound interest formula for the interest rate, r.

fortdefruitI 2021-01-22

Use rational exponents to write a single radical expression.
$\sqrt[7]{11} \times \sqrt[6]{13}$

DofotheroU 2021-01-10

Rationalize the denominator.
$\frac{\sqrt{40}}{\sqrt{56}}$

Khaleesi Herbert 2021-01-05

The simplified form of the expression
$\sqrt[4]{c d^{2}} \times \sqrt[3]{c^{2} d} .$

Zoe Oneal 2021-01-02

a) Find the rational zeros and then the other zeros of the polynomial function $(x) = x^{3} - 4 x^{2} + 2 x + 4, that is, solve f (x) = 0 .$
b) Factor $f (x)$ into linear factors.

Wribreeminsl 2020-12-16

To calculate: The simplified form of the expression $\frac{\sqrt{12}}{\sqrt{x + 1}} .$

sibuzwaW 2020-12-12

To rationalize:
Each numerator. Assume that variables represent positive real numbers.
Given: An expression : $\frac{\sqrt[3]{9}}{7} .$

Finding rational exponents examples with solutions is not easy because most examples and answers will only provide formulas and equations based on integral calculus. In truth, rational exponents problems always require additional text or word explanation as these problems and answers need some depth to achieve success. As you solve rational exponents, take notes by looking at the answers provided. It will help you see how rational exponents equations are being formed and how to deal with the calculus aspect of things. If you need it for engineering or work with graphic design, you will find the answers, too.

Integral Calculus