Find the Leading Coefficient (-2/5x)(5y)(-2x)

$(- \frac{2}{5} x) (5 y) (- 2 x)$

Step 1

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- \frac{2}{5} (x \cdot x) (5 y) \cdot - 2$

Multiply $x$ by $x$ .

$- \frac{2}{5} x^{2} (5 y) \cdot - 2$

Rewrite using the commutative property of multiplication.

$- \frac{2}{5} \cdot 5 x^{2} y \cdot - 2$

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{2}{5}$ into the numerator.

$\frac{- 2}{5} \cdot 5 x^{2} y \cdot - 2$

Cancel the common factor.

$\frac{- 2}{5} \cdot 5 x^{2} y \cdot - 2$

Rewrite the expression.

$- 2 x^{2} y \cdot - 2$

Multiply $- 2$ by $- 2$ .

$4 x^{2} y$

Step 2

The leading term in a polynomial is the term with the highest degree.

$4 x^{2} y$

Step 3

The leading coefficient in a polynomial is the coefficient of the leading term.

$4$