Question

Tentukan hasil pemangkatan berikut!
[tex]1. \: ( \frac{3}{5} ) ^{4} [/tex]
[tex]2. \: ( - 1 \frac{1}{3} ) ^{3} [/tex]
[tex]3. \: ( - \frac{4}{7}) ^{ - 2} [/tex]
[tex]4. \: ( - \frac{4a}{5} ) ^{ - 3} [/tex]
[tex]5. \: ( - \frac{2x}{3y} ) ^{ - 4} [/tex]
[tex]6. \: ( - \frac{5}{6} ) ^{ - 3} [/tex]
[tex]7. \: ( - \frac{3m}{5n} ) ^{ - 5} [/tex]
​

Answer 1

Jawaban:

1. (3/5)^(4/1) = (3/5)^4 = 81/625.

2. (-1/3)^3 * (1/3)^2 = (-1/3)^3 * (1/9) = -1/27 * 1/9 = -1/243.

3. (-4/7)^(-2/3) = (7/4)^(2/3) = (7^(2/3)) / (4^(2/3)) = 49/8.

4. (-4/5)^(-3/4) = (5/4)^(3/4) = (5^(3/4)) / (4^(3/4)) = 125/64.

5. (-2/3)^(-4/5) = (3/2)^(4/5) = (3^(4/5)) / (2^(4/5)) = 81/16.

6. (-5/6)^(-3/6) = (6/5)^(3/6) = (6^(3/6)) / (5^(3/6)) = (2/5)^(1/2) = sqrt(2)/sqrt(5).

7. (-3/5)^(-5/7) = (5/3)^(5/7) = (5^(5/7)) / (3^(5/7)) = (5^(5/7)) / (3^(5/7)).