Math Problem Statement
Запишіть вираз у вигляді степеня з основою а: a^(1/5) * a^(2/5)
Solution
The problem in the image asks to simplify the expression involving powers of :
Solution:
To simplify this expression, we apply the rule of exponents that states:
In this case, and . So we add the exponents:
Thus, the simplified expression is:
Final Answer:
The expression in terms of a single power of is .
Let me know if you would like more details on this! Here are 5 related questions to explore:
- What is the general rule for multiplying powers with the same base?
- How would you simplify ?
- How do you handle division of exponents with the same base?
- What happens if the exponents in multiplication have different bases?
- How would you represent as a radical expression?
Tip: When multiplying expressions with the same base, always add the exponents to simplify quickly!
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Math Problem Analysis
Mathematical Concepts
Exponents
Laws of Exponents
Algebra
Formulas
a^m * a^n = a^(m+n)
Theorems
Exponentiation rules
Suitable Grade Level
Grades 8-10