Jawaban:

1) 17³ + 18³

= ( 17 × 17 × 17) + ( 18 × 18 × 18 )

= ( 289 × 17 ) + ( 324 × 18 )

= 4.913 + 5.832

= 10.745 (pada huruf h)

2) 20³ + 25³

= ( 20 × 20 × 20 ) + ( 25 × 25 × 25 )

= ( 400 × 20 ) + ( 625 × 25 )

= 8.000 + 15.625

= 23.625 (pada huruf i)

3) 9³ - 3³

= ( 9 × 9 × 9 ) - ( 3 × 3 × 3 )

= ( 81 × 9 ) - ( 9 × 3 )

= 729 - 27

= 702 (pada huruf e)

4) 15³ - 12³

= ( 15 × 15 × 15 ) - ( 12 × 12 × 12 )

= ( 225 × 15 ) - ( 144 × 12 )

= 3.375 - 1.728

= 1.647 (pada huruf f)

5) 6³ × 2³

= ( 6 × 6 × 6 ) × ( 2 × 2 × 2 )

= ( 36 × 6 ) × ( 4 × 2 )

= 216 × 8

= 1.728 (pada huruf g)

6) 2³ × 4³ × 5³

= ( 2 × 2 × 2 ) × ( 4 × 4 × 4 ) × ( 5 × 5 × 5 )

= ( 4 × 2 ) × ( 16 × 4 ) × ( 25 × 5 )

= 8 × 64 × 125

= (8 × 64) × 125

= 512 × 125

= 64.000 (pada huruf j)

7) 9³ : 3³

= ( 9 × 9 × 9 ) : ( 3 × 3 × 3 )

= ( 81 × 9 ) : ( 9 × 3 )

= 729 : 27

= 27 (pada huruf b)

8) 72³ : 12³ : 3³

= ( 72 × 72 × 72 ) : ( 12 × 12 × 12 ) : ( 3 × 3 × 3 )

= ( 5.184 × 72 ) : ( 144 × 12 ) : ( 9 × 3 )

= 373.248 : 1.647 : 27

= (373.248 : 1.647) : 27

= 216 : 27

= 8 (pada huruf a)

9) 4³ + 18³ : 3³

= ( 4 × 4 × 4 ) + ( 18 × 18 × 18 ) : ( 3 × 3 × 3)

= ( 16 × 4 ) + ( 324 × 18 ) : ( 9 × 3 )

= 64 + 5.832 : 27

= 64 + (5.832 : 27)

= 64 + 216

= 280 (pada huruf c)

10) 10³ - 2³ × 4³

= ( 10 × 10 × 10 ) - ( 2 × 2 × 2 ) × ( 4 × 4 × 4 )

= ( 100 × 10 ) - ( 4 × 2 ) × ( 16 × 4 )

= 1.000 - 8 × 64

= 1.000 - (8 × 64)

= 1.000 - 512

= 488 (pada huruf d)

__________

Perkalian adalah penjumlahan berulang-ulang maka Eksponen adalah perkalian berulang-ulang. Ada juga menyederhanakan eksponen, dengan menghitung pangkatnya.

a^q × a^p = a^(q + p)

a^q : a^p = a^(q - p)