Answer:
x¹/² / y²³/¹⁵
Explanation:
x³y¹/¹⁵ / x¹y⁸/⁵ x³/²
The above expression can be simplified as follow:
Recall:
Mᵃ × Mᵇ = Mᵃ⁺ᵇ
x¹•y⁸/⁵ × x³/² = x¹⁺³/² • y⁸/⁵
x¹•y⁸/⁵ × x³/² = x⁵/²•y⁸/⁵
Thus,
x³y¹/¹⁵ / x¹y⁸/⁵ x³/² = x³•y¹/¹⁵ ÷ x⁵/²•y⁸/⁵
Recall:
Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ
x³•y¹/¹⁵ ÷ x⁵/²•y⁸/⁵ = x³ ¯ ⁵/² • y¹/¹⁵ ¯ ⁸/⁵
= x¹/² • y¯²³/¹⁵
= x¹/² / y²³/¹⁵
Therefore,
x³y¹/¹⁵ / x¹y⁸/⁵ x³/² = x¹/² / y²³/¹⁵