Question 153207This question is from textbook elementary and intermediate algebra
: A) Write the sentence (-x)2 is not equal to -x2 in words. In your own words explain why (-x)2 and -x2 are not equivalent. Provide an example to support your explanation. B) Evaluate (a) 3x0 and (b) (3x)0 when x is not 0. Are the results different? If so, explain in your own words why they are different. If not, then state so.
A student writes down the following as part of her response: a ) 3(to the 2nd power) times 3(to the 3rd power) = 729. and b) 3(to the negative 2nd power) = -9. Are her answers correct? If not, explain why you think her answers are incorrect. Include in your explanation what she did wrong, if any. What would you advise her to do instead?
i hope this makes sense to you...the way i typed it. please let me know if you need additional info. It is the chapter on Laws/Types of Exponents. Thank you thank you thank you
Jennifer
This question is from textbook elementary and intermediate algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A) Write the sentence (-x)^2 is not equal to -x^2 in words.
The square of negative x is not equal to the negative of x squared.
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In your own words explain why (-x)2 and -x2 are not equivalent. Provide an example to support your explanation.
In the 1st you are squaring -x. In the 2nd you are forming the negative
of the square of x.
Ex: (-5)^2 is not equal to -5^2
25 is not equal to -25
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B) Evaluate (a) 3x0 and (b) (3x)0 when x is not 0.
Are the results different?
3x^0 = 3*1 = 3
(3x)^0 = 1
Ans: Yes, they are different.
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If so, explain in your own words why they are different. If not, then state so.
In the 1st you are multiply x^0 by 3 to get 3*1 = 3
In the 2st you are raising (3x) to the zero power to get 1
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A student writes down the following as part of her response:
a ) 3(to the 2nd power) times 3(to the 3rd power) = 729.
Ans: 3^2 * 3*3 = 3^5 = 243
The student is wrong.
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and b) 3(to the negative 2nd power) = -9.
Are her answers correct?
Ans: 3^(-2)= (3^2)^-1 = 9^-1 = 1/9
The student is wrong.
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If not, explain why you think her answers are incorrect. Include in your explanation what she did wrong, if any. What would you advise her to do instead?
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Cheers,
Stan H.
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