Pergunta

Express the following fraction in simplest form, only using positive exponents. (-3(j^-3a^4)^-3)/(3j^4)a^(8) Answer Attemptiout of 2 square
Solução

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KalineMestre · Tutor por 5 anos
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To simplify the given fraction , we need to follow these steps:
1. Simplify the expression in the numerator: .
Applying the power of a power property, , we get:
2. Substitute back into the original fraction:
3. Simplify the fraction by canceling common factors and applying the properties of exponents:
- The coefficient in the numerator and in the denominator can be simplified:
- For the terms:
- For the terms:
4. Combine the results:
5. Express using only positive exponents:
Thus, the simplest form of the given fraction is .
1. Simplify the expression in the numerator: .
Applying the power of a power property, , we get:
2. Substitute back into the original fraction:
3. Simplify the fraction by canceling common factors and applying the properties of exponents:
- The coefficient in the numerator and in the denominator can be simplified:
- For the terms:
- For the terms:
4. Combine the results:
5. Express using only positive exponents:
Thus, the simplest form of the given fraction is .
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