Math Problem Statement
Simplify the expression completely: (3z^4 * 4z^9) / 8z^10
Solution
Let's simplify the given expression:
Step-by-step:
-
First, simplify the constants:
-
For the powers of , use the property of exponents: Applying this:
-
Now, the expression is:
-
Use the quotient rule for exponents: Applying this:
Final result:
This is the simplified expression.
Would you like further details or explanations?
Here are some related questions:
- How do we apply the quotient rule for exponents?
- What happens if the exponents are negative?
- How would the answer change if the exponents were fractional?
- Can you explain how to handle multiplication and division of terms with different bases?
- What are some common mistakes made when simplifying expressions with exponents?
Tip: Always simplify constants separately from variables to avoid confusion.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Exponents
Simplification
Formulas
Product of Powers Rule: z^a * z^b = z^{a+b}
Quotient of Powers Rule: z^a / z^b = z^{a-b}
Theorems
Exponent Laws
Simplifying Algebraic Expressions
Suitable Grade Level
Grades 9-12