–⁴/³xy³ by ⁶/7x²y and verfiy your result x=2 any y=1
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To divide (-4/3xy³) by (6/7x²y), we can simplify the expression by multiplying the numerator by the reciprocal of the denominator:
(-4/3xy³) ÷ (6/7x²y) = (-4/3xy³) * (7x²y/6)
When we multiply fractions, we multiply the numerators and denominators separately:
((-4) * (7) * (x) * (x²) * (y) * (y)) / ((3) * (x) * (y³) * (6))
Simplifying further:
(-28x³y²) / (18xy³)
We can cancel out common factors in the numerator and denominator:
(-14x²) / (9y)
Now, let's verify this result by substituting x = 2 and y = 1:
(-14(2)²) / (9(1))
(-14 * 4) / 9
-56 / 9
Therefore, when x = 2 and y = 1, the value of the expression (-4/3xy³) ÷ (6/7x²y) is -56/9.
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