How do you multiply 3x ( x ^ { - 2} y ^ { 3} )?

3 Answers
Dec 4, 2016

3y^3x
to set negative power of x into positive ; put it to the denominator

Explanation:

3x (x^-2y^3) = 3x(y^3)/x^2 = 3y^3/x

Dec 4, 2016

3x(x^-2y^3)=(3y^3)/x

Explanation:

3x(x^-2y^3)=(3x)xxx^-2xxy^3

=(3cancelx)xx1/cancel(x)xx1/(x)xxy^3

=(3y^3)/(x) as required.........

Dec 4, 2016

(3y^3)/x

Explanation:

Using the color(blue)"law of exponents"

color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^mxxa^n=a^(m+n)" and " a^-mhArr1/a^m)color(white)(2/2)|)))

rArr3x(x^-2y^3)=3x^1xxx^-2xxy^3

=3x^(1+(-2))y^3=3x^-1y^3

=3xx1/x xxy^3=(3y^3)/xlarr" positive exponents"