Question

How do you simplify -(10xy^(-2))/(3x^(-4)y^3)?

How do you simplify -(10xy^(-2))/(3x^(-4)y^3)?

Answer 1

$= - \frac{10 {x}^{5}}{3 {y}^{5}}$

Explanation:

$\rightarrow$ Determine the sign
$\rightarrow$ simplify the numbers
$\rightarrow$ work with the variables and the indices

Recall: ${x}^{-} m = \frac{1}{x} ^ m$

$- \frac{10 x {y}^{- 2}}{3 {x}^{- 4} {y}^{3}} \text{ } \leftarrow$ sign and numbers are in the simplest form

$= - \frac{10 x \times {x}^{4}}{3 {y}^{3} \times {y}^{2}} \text{ } \leftarrow$ all positive indices

$= - \frac{10 {x}^{5}}{3 {y}^{5}}$

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