How do you evaluate 9- ( 3- 1) ^ { 3} + 10?

Mar 14, 2017

$11$

Explanation:

Don't forget order of operations, an easy way to remember that is the saying PEMDAS.

$9 - {\left(3 - 1\right)}^{3} + 10 \text{ }$ Start with Operations inside parentheses, in this case $\left(3 - 1\right)$ which gives us $2$.

$= 9 - {\left(2\right)}^{3} + 10$

Then simplify any numbers that have exponents, which in this case is the result of what was found inside the parentheses.

This gives us ${2}^{3} = 8$

$9 - 8 + 10$.

Then we would multiply and divide going from left to right but in this expression there is nothing being multiplied or divided so we can skip that step.

Finally, add and subtract going from left to right.

$9 - 8 = 1$ and then $1 + 10 = 11$ as our final answer

Mar 14, 2017

$11$

Explanation:

To evaluate an expression with $\textcolor{b l u e}{\text{mixed operations}}$ we require to follow a particular order.

Follow the order as set out in the acronym PEMDAS

[Parenthesis (brackets), Exponents (powers), Multiplication, Division, Addition, Subtraction ]

$9 - {2}^{3} + 10 \leftarrow \textcolor{red}{\text{ brackets}}$

$= 9 - 8 + 10 \leftarrow \textcolor{red}{\text{ powers}}$

When the expression only contains addition/subtraction then evaluate from left to right.

$= 11 \leftarrow \textcolor{red}{\text{ addition/subtraction}}$