Jawab:

(1) Luas =

16∛(308)²∛π cm²

atau

≈ 1.068,73594 cm²

(2) 1²⁰ = 1

Penjelasan dengan langkah-langkah:

(1) Diketahui bola dengan

• V = 3285⅓ cm³

Berapa Luas (L)?

V = (4/3)πr³, L = 4πr²

maka r (dr Volume) = ∛((3V)/(4π)) **

Cari x

(4/3)πr³ = x(4πr²)

• x = (4/3)πr³ / (4πr²)
• x = (4πr·r·r)/(3·4πr·r) =

x = r/3

Volume = (r/3) kali luas.

Luas = Volume / (r/3)

Luas = (3·Volume)/r

** pakai r (dr Volume)

Luas = (3V)/∛((3V)/(4π))

• Luas = (3·3285⅓)/∛((3·3285⅓)/(4π))
• Luas = 9856/(∛(9856/(4π)))
• Luas = 9856/(∛(2464/π))
• Luas = 9856/(∛(2464)/∛π))
• Luas = 9856/((∛2³∛308)/∛π))
• Luas = 9856/((2∛308)/∛π))
• Luas = 4928∛π/(∛308)

faktorkan

• Luas = (2⁶·7·11·∛π)/(∛2²∛7∛11)
• Luas = (2⁶·∛7²·∛11²·∛π)/(∛2²)
• Luas = (64·∛77²·∛π)/(∛4)

Rasionalkan

• Luas = [(64·∛77²·∛π)·(∛4)(∛4)]/[(∛4)·(∛4)(∛4)]
• Luas = [(64·∛77²·∛π)·(∛4²)]/4
• Luas = [(64·∛77²·∛4²·∛π)]/4
• Luas = [(64·∛(77·4)²∛π)]/4
• Luas = (64/4) · (∛(308)²∛π)

Luas = 16∛(308)²∛π cm²

kalau di kalkulator 16∛(308)²∛π ≈ 1.068,73594 cm²

(2) 1⁴³ ÷ 1²³ =​ 1⁴³⁻²³ = 1²⁰ = 1

#Jenius - kexcvi