Share
Simplify v^5 * v^5 * v - Product Rule for Exponents
Published on August 27, 2026
Algebra
Learn how to simplify the algebraic expression v^5 * v^5 * v using the product rule for exponents by adding the exponents together to get v^11.
Question
Answer
To simplify the given expression, we will use the product rule for exponents.
Problem:
Simplify:
Simplify:
Step-by-step solution:
-
Identify the exponents:
The expression consists of three terms multiplied together:- The first term is
. - The second term is
. - The third term is
, which can be written as because any variable without a visible exponent has an implicit exponent of .
So, the expression is: - The first term is
-
Apply the product rule for exponents:
The product rule states that when multiplying terms with the same base, you add their exponents:Applying this to our expression: -
Calculate the final exponent:Therefore:
Final Answer: