Math

Which term in the expansion of ((1/2x^3)-(x^5))^8 is a constant?
THANKS!!

  1. 👍 0
  2. 👎 0
  3. 👁 140
  1. It is a constant when the expansion has the term 1/2x^3 raised to the power of 5 and (x^5) raised to the power of 3. The product is x^0 which makes the term constant.
    The term is:
    -C(8,3) * (1/(2x^3))^5 * (x^5)^3
    =-(8!/(3!5!)) * 1/(32x^15) * (x^15) )
    =-(56/32)
    =-7/4

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    what are the similarities and differences between an arithmetic sequence and a linear equation? ok i know that arithmetic sequence is a sequence of real numbers for which each term is the previous term plus a constant (called the

  2. Math

    Find the middle term in the expansion of (2x+3y)^12

  3. math

    Consider the expansion of (x + 2)11. (a) Write down the number of terms in this expansion. (b) Find the term containing x2.

  4. math

    The 3rd term of a geometric progression is nine times the first term.if the second term is one-twenty fourth the 5th term.find the 4th term. solution ar^2=9a r=sqr of 9 r=3.pls help me on how to get the first term(a)

  1. American History

    Compare and Contrast American Expansion in the late 1800's with the expansion in the 1900's. (How the expansion efforts were the same and how they were different.) During the expansion of the late 1800's and early 1900's shared

  2. Math

    find the third term in the expansion of (3x-y)^6

  3. Math - binomial

    Find the indicated term in the expansion of the given binomial. The term that does not contain x in the expansion of (6x+1/2x)^12 Is there an easier way to find the answer instead of going through finding 13 terms Thanks.

  4. algebra

    Match the term with the definition. 1. a number without a variable Examples: 1, 5, -9 a. constant b. like terms c. term d. coefficient e.expression 2. a collection of terms and constants separated by addition or subtraction

  1. algebra 2

    Find the constant term or the term independent of x in the expansion of (3x – 5/x to the 2nd power )and to the 9th power

  2. differential calculus

    ADIABATIC EXPANSION when a certain polyatomic gas undergoes adiabatic expansion,its pressure p and volume V satisfy the equation pV^1.3 =k,where k is constant.Find the relationship between the related rates dp/dt and dV/dt. this

  3. mathematics

    A goemetric progression is such that the 3rd term is 9times the first term ,while the 2nd term is one-twenty fourth of the 5th term.Find the 4th term

  4. mathematics

    A geometric progression is such that the 3rd term is nine times the 1st term while the 2nd term one twenty fourth of the 5th term.find its 4th term

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