What is (5*3)-:(4-3+(3-1)^2)?

Sep 10, 2016

$3$

Explanation:

Although this is all ONE term, there are different parts which must be done before others.
Both brackets have operations in them.

Do powers and roots
Then multiply and divide
Then add and subtract

In the working below, the colors show which operation must be done in each line.

$\left(\textcolor{red}{5 \times 3}\right) \div \left(4 - 3 + {\left(\textcolor{b l u e}{3 - 1}\right)}^{2}\right)$

=$\textcolor{red}{15} \div \left(4 - 3 + \textcolor{b l u e}{{2}^{2}}\right)$

=$15 \div \left(4 - 3 + \textcolor{b l u e}{4}\right)$

=$15 \div \left(\textcolor{m a \ge n t a}{4 - 3 + 4}\right)$

= $15 \div \textcolor{m a \ge n t a}{5}$

=$3$