~ Eksponen
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Pembahasan :
[tex]( \frac{1}{3} ) {}^{8} \div ( \frac{2}{3} ) {}^{8} \times 4 {}^{4} [/tex]
[tex] = \frac{1 {}^{8} }{3 {}^{8} } \div \frac{2{}^{8} }{3 {}^{8} } \times 4 {}^{4} [/tex]
[tex] = \frac{1}{6.561} \div \frac{256}{6.561} \times 4 {}^{4} [/tex]
[tex] = \frac{1}{6.561} \times \frac{6.561}{256} \times 4 {}^{4} [/tex]
[tex] = \frac{1}{256} \times 4 {}^{4} [/tex]
[tex] = \frac{1}{4 {}^{4} } \times 4 {}^{4} [/tex]
[tex] = 1[/tex]
Kesimpulan :
Jadi, nilai dari ( ⅓ )⁸ ÷ ( ⅔ )⁸ × 4⁴ adalah 1
Penjelasan dengan langkah-langkah:
(1/3)⁸ ÷ (2/3)⁸ × 4⁴
= 1⁸/3⁸ ÷ 2⁸/3⁸ × 4⁴
= (1 × 1 × 1 × 1 × 1 × 1 × 1 × 1)/(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3)/(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2/(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3) × (4 × 4 × 4 × 4)
= 1/(729 × 3 × 3)/(128 × 2)/6.561 × 256
= 1.679.616/1.679.616
= 1
Hasil dari (1/3)⁸ ÷ (2/3)⁸ × 4⁴ adalah 1
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