Question

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

$z^4-w$

Short answer

Expression$z^4-w$ results into 75

Step-by-step solution

- Order for 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 $-3$for$z$ into given expression

$z^4-w={\left(-3\right)}^4-6$

- Simplify -34-6

To evaluate the value of the given expression, first simplify power then subtract numbers from left to right

$\begin{array}{c}{\left(-3\right)}^4-6=81-6\\ =75\end{array}$

Thus, value of$z^4-w$ is 75