How do you solve (3^{4} \div 9) + 32- ( 5\times 10) + 6?

Mar 29, 2018

See below.

Explanation:

To simplify this expression, we need to use a process called the Order of Operations.

This is more commonly known as $P E M D A S$, an acronym to describe the necessary steps (in order) of solving such an expression:

$P$ - Parenthesis

$E$ - Exponents

$M D$ - Multiply/Divide (Left to right)

$A S$ - Add/Subtract (Left to right)

Knowing this, we can being to simplify:

$\left({3}^{4} \div i \mathrm{de} 9\right) + 32 - \left(5 \times 10\right) + 6$

$= \left(81 \div i \mathrm{de} 9\right) + 32 - \left(5 \times 10\right) + 6$

$= \left(9\right) + 32 - \left(50\right) + 6$

$= 41 - \left(50\right) + 6$

$= - 9 + 6$

$= - 3$