Q44. - Algebra 2

Question

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

 $z^4-w$

Step-by-Step Solution

Answer

Expression $z^4-w$ results into 75

Step 1 - 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.

Step 2 - Substitute given values

Substitute 6 for $w$, and $-3$ for $z$ into given expression

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

Step 3 - Simplify - 3 4 - 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