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Mathematics

Multiply :

- 32\dfrac{3}{2} x5y3 and 49\dfrac{4}{9} a2x3y

Algebraic Expressions

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Answer

32x5y3×49a2x3y=3×42×9a2x5+3y3+1=1218a2x8y4=23a2x8y4-\dfrac{3}{2}x^5y^3 \times \dfrac{4}{9}a^2x^3y\\[1em] = -\dfrac{3 \times 4}{2 \times 9}a^2x^{5+3}y^{3+1}\\[1em] = -\dfrac{12}{18}a^2x^8y^4\\[1em] = -\dfrac{2}{3}a^2x^8y^4\\[1em]

Hence, - 32\dfrac{3}{2} x5 y3 x 49\dfrac{4}{9} a2x3y = - 23\dfrac{2}{3} a2x8y4

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