maths, algebra

State the degree of each of the following:
My answer for a) was: 1
My answer for b) was: 1
at the back of the book, the answer for a) was 0. The answer for b) was also 0.
I just don't understand why I'm wrong.

  1. 👍
  2. 👎
  3. 👁
  1. all constants have a degree of 0.

    x^0 = 1
    20 = 20*x^0
    -10 = -10*x^0

    x^0 obviously has degree 0. How did you think it was 1? The power is the degree.

    x^1 (or, just x) has degree 1

    1. 👍
    2. 👎
  2. well,now that i know that all constants have a degree of zero, i understand.

    It's just that, i thought that numbers and variables that have no index are to the power 1; since x^1=x, I thought it would be okay to apply this rule on constants as well.
    In a), I thought the degree of 3 was 1 according to the rule: x^1=x (like: 3^1=3, I just thought the index wasn't written)
    and in b), I thought that since x^0=1, i had to state the degree of the 1.
    And i thought the degree of 1 was 1 until you told me that all constants have a degree of zero (which is something i only just found out about and don't entirely understand [to be honest]).

    1. 👍
    2. 👎
  3. cool. Now it's something you don't have to worry about any more. Sometimes you have to pound these concepts in with a hammer. I know; my head still hurts.

    1. 👍
    2. 👎
  4. the reason why x^0 is 1, can be easily seen, if you have worked with exponents yet:

    x^5 = x*x*x*x*x
    x^2 = x*x
    x^/x^2 = (x*x*x*x*x)/(x*x) = x*x*x = x63 = x^(5-2)

    That is, when you divide powers, you subtract exponents.

    So, x^5 / x^5 = 1, but
    it is also x^(5-5) = x^0

    1. 👍
    2. 👎
  5. sorry about the typos:
    x^5/x^2 = (x*x*x*x*x)/(x*x) = x*x*x = x^3 = x^(5-2)

    1. 👍
    2. 👎
  6. can you show me the work for my homework

    1. 👍
    2. 👎
  7. so 3 has a power of zero, correct?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. trigonometry

    the bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base are 65 degree and 40 degree respectively find the two legs. Answer using law of sines pls

  2. math

    Find an angle between 0 degree and 360 degree that is coterminal with given angle. a. 361 degree b. -100 degree c. 1270 degree

  3. 11th Grade Maths

    The difference between the two acute angles of a right- angled triangle is 2 π/5 radians. Express the angles in degrees. I’ve multipled 2 π/5 * 180/ π and got the result 72 degree But the answer is 81 degree and 9 degree.

  4. pre-calc

    1. which of the following is a fourth degree polynomial function? select all that apply. a. f(x)= 4x^3 - x^2 + 2x - 7 b. f(x)= 5-x^4 c. f(x)= 1 / 2x^4 + x^2 -5 d. f(x)= 3x^4 + 2x^3 -4x +1 2. which function below has the end

  1. Physics

    If 100 ml of water at 60 degree is added to 200 ml of water at 30 degree then the temperature in mixture is options A) 45 degree B) 40 degree C) 50 degree

  2. Algebra

    Give the degree and classify the polynomial by the number of terms. A. degree: 2; trinomial B. degree: 3; binomial C. degree: 3; trinomial D. degree: 2; binomial Is B correct?

  3. Math

    We define an infinite-horizon discounted MDP in the following manner. There are three states x,y1,y2 and one action a . The MDP dynamics are independent of the action a as shown below: At state x , with probability 1 the state

  4. CHEM

    The electron from a hydrogen atom drops from an excited state into the ground state. When an electron drops into a lower-energy orbital, energy is released in the form of electromagnetic radiation. Part A: How much energy does the

  1. Calculus

    Determine whether the integral is divergent or convergent. If it is convergent, evaluate it and enter that value as your answer. If it diverges to infinity, state your answer as "INF" (without the quotation marks). If it diverges

  2. Pre-Calc

    Please check my answers I really need to do my homeowrk!;This are polar coordinates we're studying-I'm almost positive the first two are correct. 1.Which of the folowing is another representation of (-3,pi)? (3,120degree) (3,0

  3. math

    The supplement of an angle measures 11 times its complement. Then the measure of the angle is: (A) 9 degree (B) 99 degree (C) 81 degree (D) 90 degree (E) none of these not just answer, please tell me how to do it

  4. chemistry

    rate the following solutions as unsaturated, saturated, or supersaturated a) 2020g/L of KNO3 at 85 degree b) 185g/L of NaCl at 50 degree c) 500g/L of KCl at 75 degree d) 900g/L of NaNO3 at 55 degree

You can view more similar questions or ask a new question.