Question

(2¹⁶×3⁸)⁵:(2⁴⁰×3⁶)²
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Answer 1

$\it (2^{16}\cdot3^8)^5:(2^{40}\cdot3^6)^2=\dfrac{2^{80}\cdot3^{40}}{2^{80}\cdot3^{12}}=3^{40-12}=3^{28}$

Answer 2

Răspuns: 3²⁸

Explicație pas cu pas:

(2¹⁶ × 3⁸)⁵ : (2⁴⁰ × 3⁶)² = (2¹⁶ˣ⁵ × 3⁸ˣ⁵) : (2⁴⁰ˣ² × 3⁶ˣ²) =

= (2⁸⁰ × 3⁴⁰) : (2⁸⁰ × 3¹²) = 3⁴⁰⁻¹² = 3²⁸