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Algebra 2 2.02 assignment
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Algebra 2 2.02 Assignment
Question 2
Question 1
Rewrite in simplest radical form
1/x^−3/6
Show each step of your process.
step1: 1/x^-3/6
step2: x^-3/6=x^-1/2 (divide -3 and 6 by 3)
step3: 1/x^-1/2
Is the expression x^3•x^3•x^3 equivalent to x^3•3•3? Why or why not? Explain your reasoning.
No, these two expressions are not the same because when multiplying exponents with the same base you add the exponents, so x^3*x^3*x^3 would be simplified into x^9 and x^3*3*3 would be simplified into x^27.
Question 5
Question 3
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^1/3•x^1/3•x^1/3
I think the two expressions that have a equal solution is expression b and d. When you work out the two expressions the solution for both is x.
Question 4
Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
Step1:√x • 4√x
Step2:√x • 4√x =x^1/2 * x^2/4
Step3:x^1/2 *x^1/4=x^1/4+2/4=x^3/4
Step4:x^3/4
Rewrite in simplest radical form
x^5/6 / x^1/6
Show each step of your process.
Step1: x^5/6 / x^1/6= x^5/6 -^1/6
Step2: x^4/6 (divide by 2)
Step3: x^2/3