Chapter 1: Q44. (page 9)

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
$z^{4} - w$

Short Answer

Expert verified

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

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

- Simplify -34-6

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

$\begin{matrix} {(- 3)}^{4} - 6 = 81 - 6 \\ = 75 \end{matrix}$

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

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Year	Average CPI
1950	42.1
1960	29.6
1970	38.8
1980	82.4
1990	130.7
2000	174.0

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
$z^{4} - w$

Short Answer

Step by step solution

- Order for simplification

- Substitute given values

- Simplify -34-6

One App. One Place for Learning.

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Evaluate each expression if w=6,x=0.4,y=12,and z=-3z4-w

Short Answer

Step by step solution

- Order for simplification

- Substitute given values

- Simplify -34-6

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Theoretical and Mathematical Physics

Pure Maths

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Study anywhere. Anytime. Across all devices.

Evaluate each expression if $w = 6, x = 0.4, y = \frac{1}{2},$ and $z = - 3$
$z^{4} - w$