Question

Evaluate each expression if$w=6,x=0.4,y=\frac{1}{2},$ and$z=-3$

45.${\left(5-w\right)}^2+x$

Short answer

Expression ${\left(5-w\right)}^2+x$ results into $1.4$

Step-by-step solution

- Order of simplification

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

- Substitute given values

Substitute 6 for $w$, and $0.4$for$x$ into given expression

${\left(5-w\right)}^2+x={\left(5-6\right)}^2+0.4$

- Simplify expression inside grouping symbol

To evaluate the value of the given expression, first simplify the expression inside the parenthesis and then expand the exponent. Then simplify further as shown below

$\begin{array}{c}{\left(5-6\right)}^2+0.4={\left(-1\right)}^2+0.4\\ =1+0.4\\ =1.4\end{array}$

Thus, value of ${\left(5-w\right)}^2+x$is$1.4$