Rational Exponents and Radicals: Real-World Examples

High School
Algebra
Algebra II
Rational exponents and radicals

Recent questions in Rational exponents and radicals

Nannie Mack 2021-01-23

Put each fractional expression into standard form by rationalizing the denominator. Gives the fraction $\frac{9}{4 t h r o o t} (2) .$ Should I be multiplying the fraction by the starting denminator, or should I change the exponents?

Lewis Harvey 2021-01-22

We need to calculate the simplified form of the expression,
$\frac{c^{2} + 13 c + 18}{c^{2} - 9} + \frac{c + 1}{c + 3} - \frac{c + 8}{c - 3}$

nitraiddQ 2021-01-22

Whether the temperature $(T_{p})$ on the surface of the planet will be suitable for liquid water to exist mean surface temperature of the star $(T_{s})$ is $7700^{\circ} C,$ mean radius of the star r is $1.26 \times 10^{6} k m,$ the distance between the star and the planet d is $4.3 \times 10^{8} k m$ and the model formula is
$T_{p} = 0.7 (T_{s} + 273) {(\frac{r}{d})}^{^{1} ∠ 2} - 273$

Brittney Lord 2021-01-22

To calculate:
To evaluate the expression
$x^{^{5} ∠ 3} \cdot x^{^{\frac{- 3}{4}}}$

Alyce Wilkinson 2021-01-22

Find the rationalize the denominator of $\frac{- 4}{\sqrt[3]{5 x}}$

babeeb0oL 2021-01-16

Simplifying Expressions Involving Radicals Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers. $\sqrt{x^{5}} x^{5}$

Josalynn 2021-01-10

Solve the compound interest formula for the interest rate r using the properties of rational exponents. then use the obtained formula to calculate the interest rate for an account that was compounded semi-annually, had an initial deposit of $10,000 and was worth $14,373.53 after 11 years.

Bevan Mcdonald 2021-01-08

Radicals and Exponents Evaluate each expression:
a) $\frac{\sqrt{132}}{\sqrt{3}}$
b) $\sqrt[3]{2} \sqrt[3]{32}$
c) $\sqrt[4]{\frac{1}{4}} \sqrt[4]{\frac{1}{64}}$

necessaryh 2021-01-02

We need to calculate: The simplified form of $\sqrt[5]{x^{2} y^{2}} \cdot \sqrt[4]{x}$

glasskerfu 2021-01-02

Simplify the expression, answering with rational exponents and not radicals. To enter $x^{\frac{m}{n}},$ type $x^{(\frac{m}{n})} .$
$\sqrt{3} {27 m^{2}} = ?$

UkusakazaL 2021-01-02

To determine:
The radicand of the expression is $\sqrt{3} \cdot \sqrt{3} {2}$

Khaleesi Herbert 2020-12-30

Simplifying Expressions Involving Radicals Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.
$\frac{\sqrt{4} {x^{7}}}{\sqrt{4} {x^{3}}}$

Aneeka Hunt 2020-12-25

Radicals and Exponents Evaluate each expression:
a) $2 \sqrt[3]{81}$
b) $\frac{\sqrt{18}}{\sqrt{25}}$
c) $\sqrt{\frac{12}{49}}$

Dottie Parra 2020-12-24

(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
$f (x) = 0.$ (type an exact answer, using radicals as needed. Simplify your answer. Use a comma to separate answers as needed.)
(b) Factor f(x) into linear factors. (type an exact answer, using radicals as needed. Simplify your answer. Type an expression using x as the variable.)

ka1leE 2020-12-24

To calculate: The simplified form of the rational expression $- \frac{15 t u^{5} v}{3 t^{3} u}$ and state the restrictions on the variable t, u.

mattgondek4 2020-12-17

Use rational exponents to simplify. Write the answer in radical notation if appropriate $(\sqrt[7]{c d})^{14}$

beljuA 2020-12-15

To calculate: The restriction on the variable for rational expression $\frac{6 c}{7 a^{3} b^{2}}$

foass77W 2020-12-15

To write: An expression using rational exponents and using radicals.
$5 x^{\frac{5}{2}} + 2 x^{\frac{1}{2}} + x^{\frac{3}{2}}$

Zoe Oneal 2020-12-13

We need to solve this equation:
$x^{4} - x^{3} + 4 x^{2} - 16 x - 192 = 0$

nitraiddQ 2020-12-12

To calculate: The expression is $\sqrt{3} {m^{3} + n^{3}}$ where the variable represents positive real numbers.

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Algebra II

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