Question

Bài 1. Thu gọn đơn thức sau:

a. xⁿ. x^2.(n+1)

^b. xⁿ⁺³. x^2-n

c. (-1/3xⁿ⁺²).(-3x^n-1)

d. (-1/1/2x²y³)²

e. (-0,1x³y)³

Answer 1

a) \(x^n.x^{2\left(n+1\right)}\)

= \(x^{n+2.\left(n+1\right)}=x^{n+2n+2}=x^{3n+2}\)

b) \(x^{n+3}.x^{2-n}=x^{n+3+2-n}=x^5\)

c) \(\left(-\dfrac{1}{3}x^{n+2}\right).\left(-3x^{n-1}\right)\)

= \(-x^{n+2+n-1}=-x^{2n+1}\)

d) \(\left(-\dfrac{1}{\dfrac{1}{2x^2y^3}}\right)^2\)

= \(\left(-1.\dfrac{2x^2y^3}{1}\right)^2=\left(-2x^2y^3\right)^2=4x^4y^6\)

e) \(\left(-0,1x^3y\right)^3=-0,001x^9y^3\)