Question

Evaluate each expression. $$ 5 \cdot 3^{3}-4 \cdot 2^{3} $$

   Evaluate each expression.
$$
5 \cdot 3^{3}-4 \cdot 2^{3}
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 1, Problem 86

Instant Answer

Solved by Expert Julie Silva

04/11/2020

Step 1

So, we calculate $3^{3}$ and $2^{3}$: $$ 3^{3} = 3 \times 3 \times 3 = 27 $$ $$ 2^{3} = 2 \times 2 \times 2 = 8 $$ So, the expression becomes: $$ 5 \cdot 27 - 4 \cdot 8 $$ Show more…

Show all steps

lock

Thanks for your feedback!

Evaluate each expression. $$ 5 \cdot 3^{3}-4 \cdot 2^{3} $$

Play audio

Feedback

Powered by NumerAI

Julie Silva and 61 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Order of Operations

This is a fundamental principle in mathematics that dictates the sequence in which operations (exponentiation, multiplication, addition, subtraction, etc.) are performed when evaluating an expression. Following the correct order (often remembered as PEMDAS or BODMAS) ensures consistency and accuracy in solving mathematical problems.

Exponential Notation

Exponential notation is a shorthand method to represent repeated multiplication of a number by itself. For example, a term raised to a power indicates that the base number should be multiplied by itself as many times as the exponent specifies, which is crucial for correctly evaluating and simplifying expressions.

Multiplication

Multiplication is one of the basic arithmetic operations. It is used to combine numbers by adding equivalent groups together. In expressions involving exponents, multiplication is typically performed after evaluating the powers, as dictated by the order of operations.

Subtraction

Subtraction is a basic arithmetic operation that denotes the removal or difference between quantities. It is performed after handling any groupings, exponents, and multiplication in an expression, as per the established rules in order of operations.

Recommended Videos

Transcript

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later