Math Problem Statement
Which is equivalent to 7^(3/5) x 7^(1/5)?
Solution
Let’s analyze the problem:
The question asks for the equivalent of .
Step 1: Simplify using the rule of exponents
When multiplying terms with the same base, you add the exponents:
Step 2: Add the exponents
Thus, the expression simplifies to:
Step 3: Match the options
The correct answer is C. .
Would you like a detailed explanation of exponent rules or have more questions? Here are some related questions to expand your understanding:
- What are the laws of exponents for division and power of a power?
- How can we simplify fractional exponents like ?
- What happens if we divide by ?
- How do negative exponents affect the base of a number?
- What is the relationship between radical expressions and fractional exponents?
Tip:
When working with exponents, always check if the base is the same before applying rules!
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Math Problem Analysis
Mathematical Concepts
Exponents
Simplifying Expressions
Formulas
a^m * a^n = a^(m+n)
Theorems
Law of Exponents for Multiplication
Suitable Grade Level
Grades 7-9