Math Problem Statement
solve
Solution
Let's solve the given expression step by step. The problem is:
Step 1: Rewrite the terms in fractional powers
- can be rewritten as .
- can be rewritten as .
Thus, the expression becomes:
Step 2: Apply the index law for multiplication
When multiplying terms with the same base, you add their exponents:
To simplify , find the common denominator:
So, the expression becomes:
Step 3: Apply the index law for powers
When raising a power to another power, multiply the exponents:
Simplify :
Thus, the expression simplifies to:
Final Answer:
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Related Questions:
- What are the laws of indices used in this solution?
- How do you simplify fractional exponents step by step?
- What happens if the exponents involve negative powers?
- Can this expression be written in radical form?
- What is the numerical value of to 3 decimal places?
Tip:
When simplifying expressions with powers and roots, always rewrite terms in their fractional exponent form to make the calculations easier.
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Math Problem Analysis
Mathematical Concepts
Fractional Exponents
Index Laws
Simplifying Expressions
Formulas
a^{m} \times a^{n} = a^{m+n}
(a^{m})^{n} = a^{m \cdot n}
Theorems
Laws of Indices
Suitable Grade Level
Grade 9-11
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