Chapter 1: Q32. (page 13)

Evaluate each expression if $g = 2$ , $r = 3$ and $t = 11$ .
$r^{2} + {(g^{3} - 8)}^{5}$

Short Answer

Expert verified

The value of the expression $r^{2} + {(g^{3} - 8)}^{5}$ is 9.

Step by step solution

Step 1. Evaluation of algebraic expression.

In order to evaluate an expression, substitute the values for the variables and simplify using the order of operations. The order of operations is in order:

Evaluate the expressions inside the bracket
Evaluate the powers
Multiply and/or divide
Add and/or subtract

The evaluation takes place from left to right.

Step 2. Replace the variables.

Substitute 2 for g, 3 for 3, and 11 for t into the equation $r^{2} + {(g^{3} - 8)}^{5}$ .

$r^{2} + {(g^{3} - 8)}^{5} = 3^{2} + {(2^{3} - 8)}^{5}$

Step 3. Apply the order of operations.

As per the order of operations, first, evaluate the expressions inside the bracket.

$\begin{array}{l} r^{2} + {(g^{3} - 8)}^{5} = 3^{2} + {(2^{3} - 8)}^{5} \\ = 3^{2} + {(8 - 8)}^{5} \\ = 3^{2} \\ = 9 \end{array}$

Therefore, the expression is equal to 9.

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Evaluate each expression if $g = 2$ , $r = 3$ and $t = 11$ .
$r^{2} + {(g^{3} - 8)}^{5}$

Short Answer

Step by step solution

Step 1. Evaluation of algebraic expression.

Step 2. Replace the variables.

Step 3. Apply the order of operations.

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Evaluate each expression if g=2, r=3and t=11.r2+g3−85

Short Answer

Step by step solution

Step 1. Evaluation of algebraic expression.

Step 2. Replace the variables.

Step 3. Apply the order of operations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Statistics

Discrete Mathematics

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Evaluate each expression if $g = 2$ , $r = 3$ and $t = 11$ .
$r^{2} + {(g^{3} - 8)}^{5}$