a^b = 2^20 - 2^19 Nilai a+b adalah

Bab Akar dan Pangkat

a^b = 2^20 - 2^19
a^b = 2^1 × 2^19 - 1 × 2^19
a^b = (2 - 1) × 2^19
a^b = 1 × 2^19
a^b = 2^19

a = 2
b = 19

a + b = 2 + 19 = 21

[tex] a^{b} = 2^{20} - 2^{19} [/tex]
Faktorisasi
⇒ [tex]a^{b} = 2^{19} (2 - 1)[/tex]
⇒ [tex]a^{b} = 2^{19} [/tex]
⇒ a + b = 2 + 19 = 21

Cara manual
⇒ [tex]2^{20} = 1048576 [/tex]
⇒ [tex]2^{19} = 524288 [/tex]
⇒ 1048576 - 524288 = 524288
⇒ [tex] 524288 = 2^{19} [/tex]
⇒ [tex]a^{b} = 2^{19} [/tex]
⇒ a + b = 2 + 19 = 21