Question

Tolong doong. Pelajaran anak SMA kelas 10.

Answer 1

Ingat selalu bahwa :
p^n x p^m = p^(m+n)
p^m / p^n = p^(m-n)
p^(-m) = 1 / p^m
1/p^(-m) = p^m
(a+b)¹ = a+b
(a+b)² = a²+2ab+b²
(a+b)³ = a³ + 3a²b + 3ab² + b³ , dst....
p¹ = p

Jawaban :
1. 
a. x⁻³y² = y² / x³
b. (5a⁴b⁻⁵) (2a⁻³b⁷) = 5.2.a⁴.a⁻³.b⁻⁵.b⁷ = 10a⁴⁻³b⁻⁵⁺⁷ = 10a¹b² = 10ab²
c. x⁻⁴y³z³ / x⁻⁶ y⁻⁴z⁻⁵ = x^(-4-(-6)) y^(3-(-4)) z^(3-(-5)) = x⁻⁴⁺⁶ y³⁺⁴ z³⁺⁵ = x²y⁷z⁸

2.
a. (x+2a)³ = (x)³ + (x)²(2a) + (x)(2a)² + (2a)³
               = x³ + x².2a + x.2²a² + 2³a³
               = x³ + 2ax² + 4a²x + 8a³