Math Problem Statement
-√(81a^16b^20c^12)
Solution
You provided an expression:
Let's simplify it step by step.
- Start by simplifying the square root of each term.
- For the variables under the square root:
- because .
- because .
- because .
- Now, apply these simplifications to the original expression:
The fully simplified expression is:
Would you like more details or have any further questions?
Here are some related questions to deepen your understanding:
- How would you simplify ?
- What is the general rule for simplifying ?
- How does the presence of a negative sign outside the square root affect the result?
- How can we handle fractional exponents in similar problems?
- Can we simplify cube roots in the same way as square roots?
Tip: Always check if coefficients and exponents are perfect squares when simplifying square roots!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Simplification of Radical Expressions
Exponents
Square Roots
Formulas
√(x^n) = x^(n/2)
√(ab) = √a * √b
Theorems
Laws of Exponents
Suitable Grade Level
Grades 9-12