Math Problem Statement
can you solve these problems?
can you solve these problems?
Solution
Yes, I can help you solve these problems!
Let's break them down:
Problem 1:
The expression is:
Solution:
- Apply the multiplication rule for exponents. The variables with the same base should have their exponents added. Here, we have in both terms:
- Combine the terms: which simplifies to:
So, the simplified expression is:
Problem 2:
The expression is:
Solution:
- Apply the power of a power rule, which states that when you raise a power to another power, you multiply the exponents:
- Now multiply by :
So, the simplified expression is:
Would you like any more details on these solutions or have any further questions?
Here are 5 related questions for practice:
- How do you simplify ?
- Simplify .
- Simplify .
- How do you simplify ?
- Simplify .
Tip: When multiplying variables with the same base, always add their exponents!
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Math Problem Analysis
Mathematical Concepts
Exponents
Algebra
Multiplication of Terms
Formulas
Power of a Power Rule: (x^a)^b = x^(a*b)
Multiplication Rule for Exponents: x^a * x^b = x^(a+b)
Theorems
Laws of Exponents
Suitable Grade Level
Grades 8-10