https://file.aiquickdraw.com/mathbot/file/1726060173636gh2kpys4.jpg

The task in the image asks to "Write an expression for the sequence of operations described below: raise \( q \) to the 7th power, then find the sum of the result and \( r \)." 

The expression should follow this step-by-step process:
1. Raise \( q \) to the 7th power, which is written as \( q^7 \).
2. Find the sum of this result and \( r \), which gives \( q^7 + r \).

So, the required expression is:

\[
q^7 + r
\]

Is there anything you'd like to clarify, or would you like more details?

Here are five related questions to expand your understanding:
1. How do you generalize this process for any power other than 7?
2. What is the result if \( q = 2 \) and \( r = 5 \)?
3. How does this expression change if you're asked to subtract \( r \) instead of adding it?
4. What are the properties of exponents that can be applied to simplify expressions like \( q^7 \)?
5. How would you express this if both \( q \) and \( r \) were variables raised to different powers?

**Tip**: When working with exponents, remember that powers are applied first in the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Write an expression for the sequence of operations described below: raise q to the 7th power, then find the sum of the result and r.

Learn how to write an expression involving exponents and addition. The problem focuses on raising a variable to the 7th power and adding another variable to it. This is a fundamental concept in algebra, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation