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SECONDARY
ALGEBRA
ALGEBRA II
RATIONAL EXPONENTS AND RADICALS
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Rational exponents and radicals solution
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Recent questions in Rational exponents and radicals
Rational exponents and radicals
ANSWERED
asked 2021-06-22
Simplify:
\(\displaystyle{x}^{{4}}×{x}^{{2}}\)
Rational exponents and radicals
ANSWERED
asked 2021-06-02
\(\sqrt{(x+8)}+\sqrt{(x+15)}-\sqrt{(9x+40)}\)
Rational exponents and radicals
ANSWERED
asked 2021-03-07
To calculate the radical expression
\(\displaystyle\sqrt{{{3}}}{\left\lbrace{x}^{{{12}}}\right\rbrace}\)
to rational exponent form and simplify.
Rational exponents and radicals
ANSWERED
asked 2021-03-07
To calculate:
To convert the radical expression
\(\displaystyle\sqrt{{{3}}}{\left\lbrace{x}^{{{6}}}\ {y}^{{{9}}}\right\rbrace}\)
to rational exponent form and simlify.
Rational exponents and radicals
ANSWERED
asked 2021-03-05
Simplifying Expressions Involving Radicals Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.
\(\displaystyle{\frac{{\sqrt{{{3}}}{\left\lbrace{8}{x}^{{{2}}}\right\rbrace}}}{{\sqrt{{{x}}}}}}\)
Rational exponents and radicals
ANSWERED
asked 2021-03-01
Simplify radicals and exponents
\(\sqrt[3]{(x^{3}\ y)^{2}y^{4}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-26
A cylindrical can, open at the top, is to hold
\(470cm^{3}\)
of liquid. Find the height and radius that minimize the amount of material needed to manufacture the can. Enter your answer with rational exponents, and use pi to represent pi.
Radius
\(= ?\)
Height
\(= ?\)
Rational exponents and radicals
ANSWERED
asked 2021-02-25
To determine:
The simplified value of the radical expression
\(\displaystyle\sqrt{{{3}}}{\left\lbrace{2}{a}\right\rbrace}\cdot\sqrt{{{2}{a}}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-25
To calculate: The expression with the help of rational exponents
\(\displaystyle\sqrt{{{11}{t}}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-25
Now that I know how to solve radical equations, I can use models that are radical functions to determine the value of independent variable when a function value is known. We need to determine whether this statement makes sense or not.
Rational exponents and radicals
ANSWERED
asked 2021-02-22
Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.
a)
\(r^{^1/_6}\ r^{^5/_6}\)
b)
\(a^{^3/_5}\ a^{^3/_{10}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-21
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.
Find the real zeros of
\(f(x) = 5x^{3}\ -\ x^{2}\ +\ 5x\ -\ 1\)
Rational exponents and radicals
ANSWERED
asked 2021-02-21
Perform the indicated operation and express all answers with a rational denominator
\(2a^{2}b\sqrt[3]{4a^{3}b}\ \cdot\ -6ab^{2}\sqrt[3]{18ab^{4}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-19
Reviewing for precalc and I dont understand how to completely factor expressions with rational exponents.
\(a) x^\frac{5}{2} - 9x^{\frac{1}{2}}\)
\(b) x^{-\frac{2}{3}}+2x(-\frac{1}{2})+x^{\frac{1}{2}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-18
Simplify the expression, answering with rational exponents and not radicals. To enter
\(\displaystyle{x}^{{\frac{{m}}{{n}}}},\)
type
\(\displaystyle{x}^{{{\left(\frac{{m}}{{n}}\right)}}}.\)
\(\displaystyle\sqrt{{{7}}}{\left\lbrace{n}\right\rbrace}\sqrt{{{7}}}{\left\lbrace{n}\right\rbrace}=?\)
Rational exponents and radicals
ANSWERED
asked 2021-02-13
We need to calculate: The simplified value of the radical expression
\(\sqrt[3]{\sqrt[3]{2a}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-12
Simplify the expression and express the answer using rational exponents. Assume that all letters denote positive numbers.
\(\frac{\sqrt[3]{8x^{2}}}{\sqrt{x}}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-11
To determine:
To calculate:
a) The indicated operation
\(\displaystyle\sqrt{{{4}}}{\left\lbrace{c}{d}\right\rbrace}\cdot\sqrt{{{5}}}{\left\lbrace{c}^{{{2}}}\right\rbrace}\)
b) The indicated operation
\(\displaystyle\sqrt{{{4}}}{\left\lbrace{y}\sqrt{{{3}}}{\left\lbrace{y}\right\rbrace}\right\rbrace}\)
c) The indicated operation
\(\displaystyle\sqrt{{{5}}}{\left\lbrace{x}\right\rbrace}+\sqrt{{{5}}}{\left\lbrace{y}\right\rbrace}+\sqrt{{{4}}}{\left\lbrace{x}\right\rbrace}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-11
Graph each polynomial function.
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{{4}}}-{5}{x}^{{{2}}}+{6}\)
Rational exponents and radicals
ANSWERED
asked 2021-02-10
To calculate : The value of addition of the rational expression
\(\frac{2}{9c}\ +\ \frac{7}{15c^{3}}\)
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