How do you use PEMDAS to simplify (7+2)^2?

Jan 17, 2016

81

Explanation:

The order of operations is given by BIDMAS which stands for:
Brackets
Indices
Division
Multiplication
Subtraction

Deal with the brackets first:
${\left(7 + 2\right)}^{2} = {9}^{2}$

Then the index:
${9}^{2} = 81$

Jan 17, 2016

${\left(7 + 2\right)}^{2} = 81$

Explanation:

PEMDAS helps us to remember the order of operations when performing multiple operations in the same problem.

${\left(7 + 2\right)}^{2}$

According to PEMDAS, we need to first carry out the operation inside the parentheses, which is the addition of $7$ and $2$.

${\left(7 + 2\right)}^{2} = {\left(9\right)}^{2}$

Next we apply the exponent $2$ and square the $9$.

${9}^{2} = 81$