Math Problem Statement
Simplify (x^5)^5.
Solution
The expression given is .
To simplify this, you can apply the power of a power rule, which states that . In this case:
So, the simplified form of the expression is:
Would you like further details, or do you have any questions?
Here are 5 related questions to deepen your understanding:
- How do you simplify expressions with multiple variables, such as ?
- What is the difference between the power of a power rule and the product of powers rule?
- How do you simplify for general values of and ?
- Can the power of a power rule be applied to roots, such as ?
- How does exponentiation affect negative exponents, like ?
Tip: Always remember to check the rules of exponents carefully when dealing with powers of powers or products of powers to avoid errors.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Exponentiation
Power of a Power Rule
Formulas
(a^m)^n = a^{m * n}
Theorems
Exponentiation Theorem
Suitable Grade Level
Grades 7-9