# Boost Your Math Skills with Rational Exponents Examples and Practice

Recent questions in Rational exponents and radicals
Integral CalculusAnswered question
Marcus Lane 2023-03-16

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

Integral CalculusAnswered question
Damon Turner 2023-01-01

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

Integral CalculusAnswered question
cofak48 2022-08-05

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

Integral CalculusAnswered question
Flambergru 2022-08-04

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

Integral CalculusAnswered question
Nelson Jennings 2022-07-27

## Divide $\left(x-1{\right)}^{6}$ by (x+1)

Integral CalculusAnswered question

## cot -(17/8)

Integral CalculusAnswered question
aramutselv 2021-12-16

## Find the square root of 50.

Integral CalculusAnswered question
skeexerxo175o 2021-11-16

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

Integral CalculusAnswered question
DofotheroU 2021-03-18

## The simplified form of the expression

Integral CalculusAnswered question
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: $\mathrm{tan}\left({\mathrm{cos}}^{-1}5x\right)=?$

Integral CalculusAnswered question
Bergen 2021-02-08

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

Integral CalculusAnswered question
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 $\sqrt{81{a}^{12}{b}^{20}}$

Integral CalculusAnswered question
Dolly Robinson 2021-01-31

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

Integral CalculusAnswered question
hexacordoK 2021-01-28

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

Integral CalculusAnswered question
fortdefruitI 2021-01-22

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

Integral CalculusAnswered question
DofotheroU 2021-01-10

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

Integral CalculusAnswered question
Khaleesi Herbert 2021-01-05

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

Integral CalculusAnswered question
Zoe Oneal 2021-01-02

## a) Find the rational zeros and then the other zeros of the polynomial function b) Factor $f\left(x\right)$ into linear factors.

Integral CalculusAnswered question
Wribreeminsl 2020-12-16

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

Integral CalculusAnswered question
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.