Jawab:
Penjelasan dengan langkah-langkah:
V = Akar kuadrat
^ = pangkat
3. a. V(125/100) = V((25 × 5)/100) = (5V5)/10 = ½V5
b. V(32/81) = V((16 × 2)/81) = (4V2)/9 = (4/9)V2
c. V(6½) = V(13/2) = ½V26
d. V(11 1/9) = V((99 + 1)/9) = V(100/9) = 10/3 = 3 ⅓
4. a. (a³ b⁴)^⅓ = ((a³)^⅓) ((b⁴)^⅓)
= (a^(3 × ⅓)) (b^(4 × ⅓))
= a (b^(4/3))
= a b (b^⅓)
b. (81 x⁴ y)^⅓ = ((27 × 3)^⅓) ((x³ x)^⅓) (y^⅓)
= ((3³)^⅓) (3^⅓) ((x³)^⅓) (x^⅓) (y^⅓)
= 3 (3^⅓) (x) (x^⅓) (y^⅓)
= (3x) ((3xy)^⅓)
c. V(a³ b⁵) = (a² a b⁴ b)^½
= (a ^ (2 × ½)) (a^½) (b ^ (4 × ½)) (b^½)
= a (a^½) b² (b^½)
= ab² V(ab)
d. (32 x³ y²)^¼ = (2⁴ 2 x³ y²)^¼
= ((2⁴)^¼) (2^¼) ((x³)^¼) ((y²)^¼)
= 2 (2^¼) (x^(3 × ¼)) (y^(2 × ¼))
= 2 (2^¼) (x^(¾)) (y^(½))
= 2 (⁴V(2x³)) (Vy)
e. V((V16)(Va⁰)) = V((4)(1)) = 2
f. ⁵V(32 x⁵ y) = (2⁵ x⁵ y)^(⅕)
= ((2⁵)^⅕) ((x⁵)^⅕) (y^⅕)
= (2x) (⁵Vy)
[answer.2.content]
