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Week 3: Radicals and Rational Exponents, Date Submitted: 10/16/2014
1. Simplifying a sum or difference of radical expressions: Multivariate
Simplify as much as possible.
+8y48w3w3wy2
Assume that all variables represent positive real numbers.
You answered correctly:
33wy3w
2. Rationalizing the denominator of a radical expression
Rationalize the denominator and simplify.
611
You answered:
6611
Your answer is incorrect.
The correct answer is:
6611
3. Solving a radical equation that simplifies to a linear equation: One radical, basic
Solve for u , where u is a real number.
=+u96
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
You answered correctly:
=u 27
4. Solving an equation using the odd-root property: Problem type 2
Solve
=−−w83240 where w is a real number.
Write your answer in simplified radical form.
You answered correctly:
=w+ 8233
5. Rational exponents: Negative exponents and fractional bases
Simplify. Write your answers without exponents.
=32−4/5
=1/81−34
You answered correctly:
32−4/5
=
1/16
1/81−34
=
27
6. Simplifying a radical expression with two variables
Simplify.
27x7w10
Assume that all variables represent positive real numbers.
You answered correctly:
3w5x33x
7. Simplifying a product involving square roots using the distributive property: Advanced
Multiply.
−22-95)(22-45)
Simplify your answer as much as possible.
You answered correctly:
−188-2610
8. Rational exponents: Products and quotients with negative exponents
Simplify the expression. y3/2y−1/4y1/3 Write your answer using only positive exponents.
Assume that all variables are positive real numbers.
You answered: y11/12 Your answer is incorrect.
The correct answer is: y11/12 9. Converting between radical form and exponent form
Write the following as an exponential expression.
6b5
You answered: b5/6 Your answer is incorrect.