Penjelasan dengan langkah-langkah:

1. (a^p × a^q)/a^r = a^(p+q-r)

2. (4a³)² ÷ 2a²

= 4a⁶/2a

= 2²a⁶/2a²

= 2^(2-1)×a^(6-2)

= 2a⁴

3. (4^-3)^-2

((2²)^-3)^-2

2^(2×(-3)×(-2))

2¹²

4. (10¹²-10¹¹)/9

((10¹¹×10¹)-10¹¹)/9

10¹¹/9

5. 8^-2/3

(2³)^-2/3

2^-2

1/2²

1/4

6. x^2/3 . x^1/4 ÷ x^1/6

x^(2/3 + 1/4 - 1/6)

x^(8/12 + 3/12 - 2/12)

x^(9/12)

x^(3/4)

⁴√x³

7. 64^2/3 . 125^1/6 . 1/(5^1/2)

(2⁶)^2/3 . (5³)^1/6 . 5^-1/2

2⁴. 5^1/2 . 5^-1/2

16 . 5^(1/2 - 1/2)

16 . 5⁰

16 . 1

16

8. (x^-2)-(y^-2)/(xy)^-2

(x^-2)-(y^-2)/(x^-2)(y^-2)

(x^-2)/(x^-2)(y^-2) - (y^-)/(x^-2)(y^-2)

x^(-2-(-2)).y² - y^(-2-(-2)).x²

x⁰.y² - y⁰.x²

y² - x²

x² - y²

9. √48

√16×3

4√3

10. ³√2 × √3

⁶√2³ × ⁶√3²

⁶√8 × ⁶√9

⁶√72 (Memang gak ada dipilihannya)

11. (4√3 + 2√5)(4√3 - 2√5)

(16×3) - 8√15 + 8√15 - (4×5)

48 - 20

28

12. (Mohon maaf tapi soalnya agak kurang jelas)