Math Problem Statement
I do not get how to simplify this at all can u help pls im dying rn
Solution
Let’s simplify the given expression step by step. The expression is:
Step 1: Simplify the powers.
- For , apply the exponent rule , so:
Now, the expression becomes:
Step 2: Combine the powers of 2.
The next step is to simplify the powers of 2. Use the rule . We need to combine and .
First, notice that and are in division, so apply the rule :
So the entire expression simplifies to:
Step 3: Final simplified expression.
Since there are no further simplifications, the final simplified form is:
Step 4: Optional evaluation.
If you'd like to express it as a decimal or fraction:
Thus, the simplified expression is either or as a decimal approximately .
Would you like more details or have any questions? Here are 5 related problems to practice:
- Simplify .
- What is simplified?
- Evaluate .
- Simplify .
- What is the decimal value of ?
Tip: Always apply the exponent rules first when simplifying expressions with exponents!
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Math Problem Analysis
Mathematical Concepts
Exponents
Algebra
Formulas
(a^m)^n = a^{m \cdot n}
a^m \cdot a^n = a^{m+n}
\frac{a^m}{a^n} = a^{m-n}
Theorems
Exponent Rules
Suitable Grade Level
Grades 9-11