2 power 8 × a power 5 × b power 3 / 4 power 2 × a power 2 × b
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Step-by-step explanation:
2⁸ * a⁵ * b³ / 4² * a² * b
= 2⁸ * a⁵ * b³ / (2²)² * a² * b
=2⁸ * a⁵ * b³ / 2⁴ * a² * b (∵ (xᵃ)ᵇ = xᵃᵇ)
= 2⁸⁻⁴ * a⁵⁻² * b³⁻¹ ( ∵ xᵃ/xᵇ = xᵃ⁻ᵇ)
= 2⁴ * a³ * b².
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