Chapter 1: Q25. (page 15)

Evaluate each expression.
$3^{5} - (1 + 10^{2})$

Short Answer

Expert verified

The value of the expression $3^{5} - (1 + 10^{2})$ is 142.

Step by step solution

Step 1. Order of operations.

In order to evaluate an expression, the order of operations must be followed, which is:

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. Evaluate the expression inside the bracket.

In order to evaluate the expression inside the bracket, first, evaluate the power $10^{2}$ .

$\begin{array}{l} 3^{5} - (1 + 10^{2}) = 3^{5} - (1 + 100) \\ = 3^{5} - 101 \end{array}$

Step 3. Evaluate the power.

As per the order of operations, now evaluate the power $3^{5}$ .

$3^{5} - (1 + 10^{2}) = 243 - 101$

Step 4. Subtract 101 from 243.

Finally, subtract 101 from 243.

$3^{5} - (1 + 10^{2}) = 142$

Therefore, the expression is equal to 142.

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Evaluate each expression.
$3^{5} - (1 + 10^{2})$

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Evaluate the power.

Step 4. Subtract 101 from 243.

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Evaluate each expression.35−1+102

Short Answer

Step by step solution

Step 1. Order of operations.

Step 2. Evaluate the expression inside the bracket.

Step 3. Evaluate the power.

Step 4. Subtract 101 from 243.

One App. One Place for Learning.

Most popular questions from this chapter

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Logic and Functions

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Evaluate each expression.
$3^{5} - (1 + 10^{2})$