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2.02 Properties of Rational Exponents

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Ava Graves

on 10 August 2016

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Transcript of 2.02 Properties of Rational Exponents

2.02 Properties of Rational Exponents
QUESTION 2
Rewrite in simplest radical form
1/x^(-3/6)
QUESTION 3
Rewrite in simplest rational exponent form √x*4 √x.

QUESTION 1
Is the expression x3*x3*x3 equivalent to X3*3*3
? Why or why not? Explain your reasoning.
QUESTION 5
Which of the following expressions are equivalent? Justify your reasoning.
a. 4√x3
b.1/x^-1
c.10√x^5*x^4*x^2
d.x^(1/)*x^(1/3)*x^(1/3)
QUESTION 4
Rewrite in simplest radical form (x^(5/6)/(x^(1/6))

No the expressions are not equivalent because if they were that would imply x=x^3. If you substitute any number into the expression they will change and not be the same.
The greatest common factor is three so we see how many times three goes into 3 which is one and 6 which is two. That leaves us with 1/x^(-1/2)
4X is the simplest form.
X^(2/3) is the simplest form.
B and D are equivalent because they are only ones that come to the same solution of x.
Ava Graves
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