01.02 The Properties of Rational Exponents PDF

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You have to work out problems related to rational exponents and thenyou can submit. I got a 100% so I really hope that this helps....

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Question 1 Is the expression x3•x3•x3 equivalent to x3•3•3? Why or why not? Explain your reasoning. No, the expression is not equivalent. The equation x3 • 3 • 3 = x27. The equation should be written as x3 + 3 + 3 = x9. Question 2 Rewrite in simplest radical form 1/x-3/6. Show each step of your process. Take the reciprocal of the equation and multiply it by 1 to make it a positive. X3/6 or simplified x1/2. Denominator becomes the index, and the numerator becomes the exponent 62√x1. Question 3 Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process. Convert them to exponent form, 2√x1 • 4√x1 = x1/2 • x1/4. Then find the common denominator x2/4 • x1/4. The add x2/4 + 1/4 or x3/4. Question 4 Rewrite in simplest radical form x5/6/x1/6. Show each step of your process. X 5/6 – 1/6 = x4/6 = x2/3 3

√x2

Question 5 Which of the following expressions are equivalent? Justify your reasoning. The expressions that are equivalent are B and D. By working out the equations below only B and D equal x and A and C have different solutions. A. 4√x3 = x3/4 B. 1/x-1 = x C. D.

10

√x5•x4•x2

= x11/10

10

√x11 or x • 10√x

x1/3 • x1/3 • x1/3 = x1/3 + 1/3 + 1/3 = x3/3 = 1 = x...