How do you simplify (16x^2)/y^4* (5x^2)/y^2?

1 Answer
Aug 8, 2015

=color(blue)(80 * x^(4)* y^(-6)

Explanation:

((16x^2)/y^4) * ((5x^2)/y^2)

  • By property color(blue)(1/a = a^-1
    Applying the above property to exponents of y in the denominator.

=16x^2 y^-4* 5x^2 y^-2

=(16 * 5) * (x^2 * x^2) * ( y^-4* y^-2)

  • As per property
    color(blue)(a^m *a^n = a^(m+n)

Applying the same property to the exponents of x and y in the expression
=80 * (x^(2+2)) * ( y^(-4 -2))

=color(blue)(80 * x^(4)* y^(-6)