Chapter 1: Q 100. (page 38)

In the following exercise, simplify each expression.
(a) ${(- 3)}^{5}$
(b) $- 3^{5}$

Short Answer

Expert verified

Part (a) The simplified value is -243.

Part (b) The simplified value is -243.

Step by step solution

Part (a) Step 1. Concept Used.

The result of the multiplication or division of two numbers with the same sign is positive and with different signs, is negative.

Part (a) Step 2. Calculation.

Perform the following operation to simplify the given expression.

Write the expanded form.
Simplify by multiplication.

$\begin{array}{rcl} {(- 3)}^{5} & = & (- 3) (- 3) (- 3) (- 3) (- 3) \\ = & 9 (- 3) (- 3) (- 3) \\ = & - 27 (- 3) (- 3) \\ = & 81 (- 3) \\ = & - 243 \end{array}$

Part (b) Step 1. Concept Used.

The result of the multiplication or division of two numbers with the same sign is positive and with different signs, is negative.

Part (b) Step 2. Calculation.

Perform the following operation to simplify the given expression.

Write the expanded form.
Simplify by multiplication.

$\begin{array}{rcl} - 3^{5} & = & - (3) (3) (3) (3) (3) \\ = & - 9 (3) (3) (3) \\ = & - 27 (3) (3) \\ = & - 81 (3) \\ = & - 243 \end{array}$

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In the following exercise, simplify each expression.
(a) ${(- 3)}^{5}$
(b) $- 3^{5}$

Short Answer

Step by step solution

Part (a) Step 1. Concept Used.

Part (a) Step 2. Calculation.

Part (b) Step 1. Concept Used.

Part (b) Step 2. Calculation.

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In the following exercise, simplify each expression.(a)-35(b)-35

Short Answer

Step by step solution

Part (a) Step 1. Concept Used.

Part (a) Step 2. Calculation.

Part (b) Step 1. Concept Used.

Part (b) Step 2. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercise, simplify each expression.
(a) ${(- 3)}^{5}$
(b) $- 3^{5}$