step 1 being asked to find the value of this expression. To do this, we're going to use the order of op

Question

Simplify. $$ 7 \cdot 2^{3} $$

Name: Problem 44, Chapter 15: Elementary and Intermediate Algebra
Uploaded: 2020-05-19T00:44:51-08:00
Duration: 23 s
Channel: Julie Silva
Description: Simplify. 7 ·2^3

   Simplify.
$$
7 \cdot 2^{3}
$$

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 44

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

According to the exponent rule, $2^{3}$ means $2 \times 2 \times 2$. So, $2^{3} = 2 \times 2 \times 2 = 8$. Show more…

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Simplify. $$ 7 \cdot 2^{3} $$

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Key Concepts

Order of Operations

This concept governs the sequence in which arithmetic operations are carried out in an expression. It ensures that exponentiation is performed before multiplication, which is essential for simplifying expressions correctly.

Exponentiation

Exponentiation is a mathematical operation where a base number is raised to the power of an exponent, meaning the base is multiplied by itself a specified number of times. This operation is fundamental in many areas of mathematics.

Multiplication

Multiplication is a basic arithmetic operation that combines numbers by scaling one number by another. In simplified expressions, it is often applied after evaluating any exponents, following the order of operations.

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