Math Problem Statement
Simplify the expression. Write the answer in exponential notation
Simplify the expression. Write the answer in exponential notation
Solution
The expression in the image is:
Let's go step-by-step to simplify this expression using the laws of exponents.
Step 1: Multiplying powers of the same base.
Thus, the numerator becomes:
Step 2: Simplifying the denominator.
Step 3: Using the division rule for exponents.
Step 4: Simplifying the exponent.
The exponent simplifies to .
Thus, the final simplified expression in exponential notation is:
Let me know if you need further clarification!
Here are some related questions:
- How do you simplify expressions with multiple powers?
- What are the rules of exponents for multiplying and dividing powers?
- What happens if the exponents in the numerator and denominator are equal?
- Can this expression be further simplified into a decimal form?
- How do exponent rules apply when dealing with fractional bases?
Tip: Always break down exponent operations using exponent rules before simplifying.
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Math Problem Analysis
Mathematical Concepts
Exponents
Fractional Bases
Exponent Rules
Formulas
Multiplication of exponents: a^m * a^n = a^(m+n)
Division of exponents: a^m / a^n = a^(m-n)
Theorems
Laws of exponents
Suitable Grade Level
Grades 9-12