# How do you simplify 3^4+2^3+8(4xx2-5) ?

Jul 26, 2016

${3}^{4} + {2}^{3} + 8 \left(4 \times 2 - 5\right) = 113$

#### Explanation:

Using PEMDAS - paranthese, exponents, muktiplication, division, addition and subtraction, we get

${3}^{4} + {2}^{3} + 8 \left(4 \times 2 - 5\right)$

= ${3}^{4} + {2}^{3} + 8 \left(8 - 5\right)$

= ${3}^{4} + {2}^{3} + 8 \times 3$

= $81 + 8 + 8 \times 3$

= $81 + 8 + 24$

= $113$

Jul 26, 2016

=$113$

#### Explanation:

With calculations which involve different operations, count the number of terms first.

Each term must have a final answer before they can be added from left to right. (Addition and subtraction are the weakest operations and are done LAST.
Within each term do parentheses first, then powers or roots then multiply or divide,

$\textcolor{m a \ge n t a}{{3}^{4}} \textcolor{b l u e}{+ {2}^{3}} \textcolor{\mathmr{and} a n \ge}{+ 8 \left(4 \times 2 - 5\right)}$ has THREE terms, get a final answer for each:

$\textcolor{m a \ge n t a}{81} \textcolor{b l u e}{+ 8} \textcolor{\mathmr{and} a n \ge}{+ 8 \left(\textcolor{red}{8} - 5\right)}$

color(magenta)(81)color(blue)(+8)color(orange)(+8(color(red)(3))

$\textcolor{m a \ge n t a}{81} \textcolor{b l u e}{+ 8} \textcolor{\mathmr{and} a n \ge}{+ 24}$

=$113$