Question
\( \frac{\left(4 x^{2} y^{3}\right)^{2}}{x^{2} y} \) as \( x=-2 \) en \( y=-1 \)
Ask by Harper Wells. in South Africa
Feb 27,2025
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When \( x=-2 \) and \( y=-1 \), the expression \( \frac{\left(4 x^{2} y^{3}\right)^{2}}{x^{2} y} \) equals -64.
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First, let’s simplify the expression \( \frac{\left(4 x^{2} y^{3}\right)^{2}}{x^{2} y} \). 1. The numerator is \( (4 x^{2} y^{3})^{2} = 16 x^{4} y^{6} \). 2. Now, substituting into the original expression gives us \( \frac{16 x^{4} y^{6}}{x^{2} y} = 16 x^{4-2} y^{6-1} = 16 x^{2} y^{5} \). Now we can plug in \( x = -2 \) and \( y = -1 \): \( 16 (-2)^{2} (-1)^{5} = 16 \cdot 4 \cdot (-1) = -64 \). So, the value of the expression is \( -64 \).