Question

Simplify. $$ \frac{7000+(-10)^{3}}{10^{2} \cdot(2+4)} $$

   Simplify.
$$
\frac{7000+(-10)^{3}}{10^{2} \cdot(2+4)}
$$

Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger,… 4th Edition

Chapter 15, Problem 51

Instant Answer

Solved by Expert Julie Silva

05/19/2020

Step 1

In the numerator, we have $7000+(-10)^{3}$. According to the order of operations, we need to calculate the exponent first. So, $(-10)^{3}$ equals $-10 \times -10 \times -10 = -1000$. Show more…

Show all steps

lock

Thanks for your feedback!

Simplify. $$ \frac{7000+(-10)^{3}}{10^{2} \cdot(2+4)} $$

Play audio

Feedback

Powered by NumerAI

Julie Silva and 81 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 concept dictates the rules for which operations to perform first in a mathematical expression, typically following the PEMDAS/BODMAS priority sequence. It ensures that expressions are computed consistently by handling parentheses, exponents, multiplication/division, and addition/subtraction in the proper order.

Exponentiation

Exponentiation is a mathematical operation, written as a number raised to a power. It is crucial in expressions that include terms like base numbers raised to certain exponents, and special rules apply when handling powers of negative numbers.

Arithmetic Operations

Arithmetic operations such as addition, subtraction, multiplication, and division are fundamental to simplifying expressions. Understanding how these basic operations interact, particularly within compound expressions, is key to correctly arriving at a simplified result.

Fraction Simplification

Simplifying fractions involves reducing the numerator and denominator by performing necessary arithmetic operations and eliminating common factors. This process turns a complex expression into a simpler form, often making it easier to understand or further manipulate.

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