Question

Q. Chii`
[tex] \sf\frac{( {3}^{2}) {}^{3} \: \times \: {5}^{ - 2} }{ {15}^{ - 1} } = ....[/tex]
hasilnya adalah....​

Answer 1

Verified answer

∵ (nᵃ)ᵇ = n ᵃ ˣ ᵇ ∴   ∵ (a×b)ⁿ = aⁿ×bⁿ ∴
(3²)³×5⁻²/15⁻¹ = (3⁶×5⁻²)/(3×5)⁻¹ = (3⁶×5⁻²)/(3⁻¹×5⁻¹)
∵ nᵃ / nᵇ = nᵃ⁻ᵇ ∴
= (3⁶/3⁻¹) × (5⁻²/5⁻¹) = 3⁶⁻⁽⁻¹⁾ × 5⁻²⁻⁽⁻¹⁾ = 3⁶⁺¹ × 5⁻²⁺¹
∵ n⁻ᵃ = 1/(nᵃ) ∴
= 3⁷ × 5⁻¹ = 3⁷/5 = ²¹⁸⁷/₅

Answer 2

PEMBAHASAN

Eksponen

aᵐ × aⁿ = aᵐ⁺ⁿ

(aᵐ)ⁿ = aᵐⁿ

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