Question

If the expression 2xy^{-2}{4xy^2} is written in the form ax^by^c, then what is the product of a b and c?

Answer 1

Answer: The product of a b and c is 0.

Step-by-step explanation:

The given expression : $2xy^{-2}{4xy^2}$

$=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}]$

$=8x^2y^0$

When we compare this to $ax^by^c$, we get a=8, x=2, y=0

The product of a, b and c = $a\times b \times c$

$=8\times2\times0\\\\=0$

The product of a b and c is 0.