The following are the factors of 14xy⁴:
2, 7, 14, x, y, y², y³, y⁴, xy, xy², xy³, xy⁴, 2x, 2y, 2y², 2y³, 2y⁴, 2xy, 2xy², 2xy³, 2xy⁴, 7x, 7y, 7y², 7y³, 7y⁴, 7xy, 7xy², 7xy³, 7xy⁴, 14x, 14y, 14y², 14y³, 14y⁴, 14xy, 14xy², 14xy³
I did not list the original monomial, as we know it is a factor of itself.
To find a specified term in a geometric sequence, you can use the formula: an = a1r^(n-1), where a1 = first term, n = position number of given term, r = common ratio, and an = value of term in given position.
Since we're only given a4 and r, I'm assuming a1 would be 1 since that would correspond to the rate (If we start off with one, a2 would be 1 * 2 = 2, a3 would be 2 * 2 = 4, and a4 would be 4 * 2 = 8). So now just plug in the numbers for the variables and solve.
a13 = 1(2)^(13-1)
a13 = 1(2)^(12)
a13 = 1(4096)
a13 = 4096
The 13th term of this geometric sequence would be 4096. I hope this answers your question.
Answer:
1/(5x^8y^13)
Step-by-step explanation:
To simplify this exponential expression we must use some of the laws of exponents, specifically the quotient law. The quotient law states that if the base is the same and you're dividing we subtract the exponents and so:
Therefore: