Hasil 4³ + 6⁴ – 6 pangkat 6 × 9¯³ adalah

PERTANYAAN

Hasil dari 4³ + 6⁴ – 6⁶ × 9⁻³ adalah…?

A. 2⁴ × 3²

B. 2⁴ × 3⁴

C. 3⁴ × 5²

D. 3² × 5⁴

PENYELESAIAN

4³ + 6⁴ – 6⁶ × 9⁻³

= (2²)³ + 6⁴ – 6⁶ × (3²)⁻³

= 2²ˣ³ + 6⁴ – 6⁶ × 3⁻⁶

= 2⁶ + 6⁴ – 6⁶ × 3⁻⁶

=  64 + 6⁴ – 6⁶ × 3⁻⁶

= 64 + 1.296 – 46.656 × ¹/3⁶

= 64 + 1.296 – 46.656 × ¹/₇₂₉

= 64 + 1.296 – ⁴⁶⁶⁵⁶/₇₂₉

= 1.360 – ⁴⁶⁶⁵⁶/₇₂₉

= 1.360 – ⁶⁴/₁

= ¹²⁹⁶/₁

= 1.296

= 6⁴

= 2⁴ × 3⁴