Hasil dari:

1. (⅔)² – (½)² = ⁷/₃₆

2. (–2)³ +  (–3)² = 1

3. –(2a)³ =  - 8a³

4. (((–2)¹)²)³ = 64

5. (–3) × (–3) × (–3) = - 27

6. 3√20 + 2√80 – √180 = 17√5

7. 5⁴ : 5² = 25

8. (–⅔)³ = - ⁸/₂₇

9. (½)⁻⁴ = 16

10. 5√12 + 4√27 = ​22√3

Penjelasan dengan langkah-langkah:

Diketahui:

1. (⅔)² – (½)² =

2. (–2)³ +  (–3)² =

3. –(2a)³ =

4. (((–2)¹)²)³ =

5. (–3) × (–3) × (–3) =

6. 3√20 + 2√80 – √180 =

7. 5⁴ : 5² =

8. (–⅔)³ =

9. (½)⁻⁴ =

10. 5√12 + 4√27 = ​

Ditanya:

Tentukan hasilnya!

Jawab:

1. (⅔)² – (½)²

= ⁴/₉ - ¹/₄

= ¹⁶/₃₆ - ⁹/₃₆

= ⁷/₃₆

2. (–2)³ +  (–3)²

= - 8 + 9

= 1

3. –(2a)³

= -8a³

4. (((–2)¹)²)³

= ((–2)¹)⁶

= (-2)⁶

= 64

5. (–3) × (–3) × (–3)

= 9 × (–3)

= -27

6. 3√20 + 2√80 – √180

= 3 × 5√5 + 2 × 4√5 - 6√5

= 15√5 + 8√5 - 6√5

= (15 + 8 - 6)√5

= 17√5

7. 5⁴ : 5²

= 5⁴⁻²

= 5²

= 25

8. (–⅔)³

= - ⁸/₂₇

9. (½)⁻⁴

= 2⁴

= 16

10. 5√12 + 4√27

= ​5 × 2√3 + 4 × 3√3

= 10√3 + 12√3

= (10 + 12)√3

= 22√3

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