Problem 4 Simplify each of the following p... [FREE SOLUTION]

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Painless Algebra

Lynette Long

$Math Studyset 91影视 Explanations$ Math

2 Edition

Chapter 7: Problem 4

Simplify each of the following problems by adding or subtracting. $$ 2 x^{0}+5 x^{0} $$

Short Answer

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Step by step solution

Identify the exponent property

Recall that any number raised to the power of zero is equal to one. So, simplify the exponent properties.

Simplify each term

Simplify each term: $2 x^{0} = 2 \times 1 = 2$ and $5 x^{0} = 5 \times 1 = 5$

Add the simplified terms

Add the simplified terms together: $2 + 5$

Calculate the final result

Perform the addition: $2 + 5 = 7$

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Exponent Rules

Learning exponent rules is fundamental in algebra. An important rule is any number raised to the power of zero equals one: onumber^{0} = 1. This rule simplifies many expressions. For example:

In the exercise, we have expressions like 2x^0 and 5x^0.
Applying the rule, both simplify to 2 and 5 respectively.

This step helps make complex equations manageable. Always check if an exponent rule can be applied before proceeding with operations.

Addition of Constants

Addition of constants is another important concept. After simplifying exponents, you may end up with regular numbers or constants. In our example: 2x^0 becomes 2 and 5x^0 becomes 5. Now, we need to combine these constants using addition.
This simply means adding the numerical values directly.

First, write down the simplified constants. Here it's 2 and 5.
Next, perform the arithmetic operation. The answer to 2 + 5 is 7.

This is a straightforward step once the expression is simplified.

Basic Algebra Operations

Basic algebra operations like addition, subtraction, multiplication, and division are the building blocks of more complex math problems. The same rules apply when working with constants or variables.
Let鈥檚 review these operations in the context of our problem:

Identify and simplify the terms: Turn terms like 2x^0 and 5x^0 into whole numbers (2 and 5).
Apply basic operations: In our case, we needed to add the simplified terms.
Perform the arithmetic: Finally, calculate 2 + 5 to get 7.

Understanding and practicing basic algebra operations make solving complex problems easier.

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91影视

Simplify each of the following problems by adding or subtracting. $$ 2 x^{0}+5 x^{0} $$

Short Answer

Step by step solution

Identify the exponent property

Simplify each term

Add the simplified terms

Calculate the final result

Key Concepts

Exponent Rules

Addition of Constants

Basic Algebra Operations

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