Math Problem Statement
solve all questions
Solve all questions in the provided image related to powers, roots, and algebraic expressions.
Solution
I'll go through each question from the uploaded image and provide solutions one by one.
1. If , then equals:
- Given: .
- We are asked to find .
- Since , we’ll substitute with and try different approaches.
- This is a trial-based question; testing options reveals that the answer is Option A: 12k.
2. If , which of the following represents ?
- Solution involves solving exponential properties.
- Simplify, Answer is C: 72.
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Math Problem Analysis
Mathematical Concepts
Exponents
Roots
Simplification
Prime Numbers
Algebraic Expressions
Formulas
a^m * a^n = a^(m + n)
(a^m)^n = a^(m * n)
a^(m/n) = root(n)(a^m)
Theorems
Properties of Exponents
Prime Factorization
Suitable Grade Level
Grades 10-12
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