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Mathematics

Simplify:

x5 ÷ (x2 x y2) x y3

Algebraic Expressions

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Answer

x5÷(x2×y2)×y3=x5x2y2×y3=x(52)y2×y3=x3y2×y3=x3y3y2=x3y32=x3y1x^5 ÷ (x^2 \times y^2) \times y^3\\[1em] = \dfrac{x^5}{x^2y^2} \times y^3\\[1em] = \dfrac{x^(5-2)}{y^2} \times y^3\\[1em] = \dfrac{x^3}{y^2} \times y^3\\[1em] = \dfrac{x^3y^3}{y^2}\\[1em] = x^3y^{3-2}\\[1em] = x^3y^1\\[1em]

Hence, x5 ÷ (x2 ×\times y2) ×\times y3 = x3y

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