We need to start from the innermost parenthesis and work our way out.
The first parenthesis is . These are not like terms because one involves a variable, while the other is a constant term. Two terms are summable if they involve the same power(s) of the same variable(s).
So, we can take one step outwards, and we arrive to the square brackets. We have
and 2z and -13z are like terms, so we can sum them:
Finally we arrive to the whole expression, which is
Because, again, 5z and 11z were like terms.
We have been that frequency (y) varies inversely with wavelength (x).
We know that two inversely proportional quantities are in form , where a is inversely proportional to b and k is constant of variation.
Our required equation would be .
To find frequency of blue light, we will substitute and
in our equation as:
Therefore, the frequency of blue light is 764.