# How do you simplify (13 xx 2 - 5^2)/[3^2 - (-3)^2] using PEMDAS?

Sep 3, 2016

$\frac{1}{0}$

Undefined because division by zero is not permissible.

#### Explanation:

Identify the separate terms first.

Although the whole fraction is one terms, there are 2 terms in the numerator and 2 terms in the denominator.

Each term must be simplified to a single answer and these will be dded or subtracted last.

Do operations in brackets first.
Then do the strongest operations: powers and roots.
Then the weaker operations: multiply and divide,
Last the weakest operations: addition and subtraction.

$\frac{\textcolor{red}{13 \times 2} - \textcolor{\lim e}{{5}^{2}}}{\textcolor{b l u e}{{3}^{2}} - \textcolor{m a \ge n t a}{{\left(- 3\right)}^{2}}}$

=(color(red)(26) - color(lime)(25))/[color(blue)(9) - color(magenta)((9)]

=$\frac{1}{0}$

=undefined because division by zero is not permissible.