Math Problem Statement
(2^3+2^3*2^2)/2^3
Solution
Let's break down and simplify the expression step by step:
Step 1: Simplify the powers of 2
So the expression becomes:
Step 2: Multiply within the numerator
Now the expression becomes:
Step 3: Simplify the addition in the numerator
Now the expression is:
Step 4: Perform the division
So, the simplified value of the expression is:
Let me know if you'd like further details or have any questions! Here's a set of related questions:
- How do you simplify expressions with exponents in the numerator and denominator?
- What is the order of operations when solving expressions involving both exponents and multiplication?
- How do you handle terms like in simplifying expressions?
- Can you explain how to use the distributive property to simplify expressions with addition and multiplication?
- What happens if the numerator has terms like ? How would you approach such an expression?
Tip: Always simplify exponents first before doing multiplication or division to avoid errors!
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Math Problem Analysis
Mathematical Concepts
Exponents
Order of Operations
Arithmetic Simplification
Formulas
a^b = a * a * a ... (repeated b times)
(a * b) = ab
Theorems
Order of operations (PEMDAS)
Suitable Grade Level
Grades 6-8