Problem 27 Simplify the squares and square ... [FREE SOLUTION]

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Prealgebra

Julie Miller, Molly O鈥橬eill, Nancy Hyde

$Math Studyset 91影视 Explanations$ Math

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Chapter 8: Problem 27

Simplify the squares and square roots. $$4^{2}$$

Short Answer

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Step by step solution

Understand the expression

The expression given is $4^{2}$. This means 4 raised to the power of 2.

Apply exponentiation

When a number is raised to the power of 2, multiply the number by itself. So, $4^{2} = 4 \times 4$.

Calculate the result

Perform the multiplication: $4 \times 4 = 16$.

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Key Concepts

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

squares

When we talk about squares in mathematics, we are referring to a number multiplied by itself. This is also known as raising a number to the power of 2. For example, when we see an expression like $4^2$, we mean 4 squared, which is calculated by multiplying 4 by 4.

In this case, $4^2 = 4 \times 4 = 16$.

Squares are a fundamental concept and are used in various areas of mathematics, including algebra, geometry, and even in solving real-world problems.

It's essential to understand squares as they form the basis for more complex operations like squares and square roots.

multiplication

Understanding multiplication is crucial when working with squares. Multiplication is the mathematical operation that allows us to find the product of two numbers.

In the case of squares, you are specifically multiplying a number by itself. For instance, to solve $4^2$, you multiply 4 by 4, getting 16 as a result.

To break it down:

Identify the base number (here, it is 4).
Multiply the base number by itself because it is raised to the power of 2 (so, $4 \times 4$).
Perform the multiplication to get the result (which is 16).

Mastering multiplication makes it easier to handle squares and simplifies calculations in more complex mathematical problems.

simplifying expressions

Simplifying expressions involves breaking down a mathematical expression into its simplest form. When working with exponents, like squares, it's about performing the operations to provide a final answer.

For instance, with $4^2$, simplifying the expression means calculating the result step-by-step:

Recognize that $4^2$ means 4 raised to the power of 2.
Understand this implies multiplying 4 by itself ($4 \times 4$).
Perform the multiplication to get the final result (16).

This process of simplifying is essential for solving mathematical problems accurately and efficiently, allowing you to handle more complex operations with confidence.

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91影视

Simplify the squares and square roots. $$4^{2}$$

Short Answer

Step by step solution

Understand the expression

Apply exponentiation

Calculate the result

Key Concepts

squares

multiplication

simplifying expressions

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