tolong huhuhu mo nangis aja
EkspoNEN
sifat :
[tex]a^m. a^n = a^{m+n}\\a^m : a^n = a^(m-n)\\(a^m)^n = a^{mn}\\a^{-m) = \frac{1}{m}[/tex]
Penjelasan dengan langkah-langkah:
a. (3²)⁻⁴ = 3⁻⁸ = [tex]\frac{1}{3^8 } = \frac{1}{6.561}[/tex]
b. (-2²)⁻³ = -(2)⁻⁶
[tex]= -\dfrac{1}{2^6} = - \dfrac{1}{64}[/tex]
c. (4a⁻³)⁻³ = 4⁻³ a⁹
[tex]=\dfrac{a^9}{4^3} = \dfrac{a^9}{64}[/tex]
d. (-5 a⁻²)⁻³ = (-5)⁻³. (a)⁶
[tex]=\dfrac{1}{(-5)^3}. a^6 = \dfrac{a^6}{-125}\\= -\dfrac{a^6}{125}[/tex]
e. (2a² b³)⁻⁶ = 2⁻⁶. a⁻¹² .b⁻¹⁸
[tex]= \dfrac{1}{2^6.a^{12}. b^{18}}[/tex]
f. (3a³ b⁻⁴)⁻⁵ = 3⁻⁵. a⁻¹⁵ . b²⁰
[tex]=\dfrac{b^{20}}{3^5. a^{15}}[/tex]
[tex]=\dfrac{b^{20}}{243. a^{15}}[/tex]
g. (-5 x³ y⁵)⁻⁴ = (-5)⁻⁴ . x⁻¹². y²⁰
[tex]= \dfrac {y^{20}}{(-5)^4.x^{12}}[/tex]
[tex]= \dfrac {y^{20}}{625.x^{12}}[/tex]
h. (-4. x⁻⁵. y⁴)⁻⁵= (-4)⁻⁵. x²⁵. y⁻²⁰
[tex]= \dfrac{x^{25}}{(-4)^5 . y^{20}}[/tex]
[tex]= \dfrac{x^{25}}{-1.024 . y^{20}}[/tex]
[tex]= - \dfrac{x^{25}}{1.024 . y^{20}}[/tex]
