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Simplify: the problems

Simplify The Problems class=

Sagot :

Eduard22sly

Answer:

x¹/² / y²³/¹⁵

Step-by-step 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

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