Question
(3^(-2)×3^5)/3^6
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Answer to a math question (3^(-2)×3^5)/3^6
Birdie
4.5104 Answers
1. Begin with the expression: \frac{3^{-2} \times 3^5}{3^6}
2. Apply the properties of exponents: 3^{-2} \times 3^5 = 3^{-2 + 5} = 3^{3}
3. Substitute back into the expression: \frac{3^3}{3^6}
4. Apply the properties of exponents: \frac{3^3}{3^6} = 3^{3 - 6} = 3^{-3}
5. Convert to standard form: 3^{-3} = \frac{1}{3^3} = \frac{1}{27}
6. Therefore, the final answer is: \frac{1}{27}
2. Apply the properties of exponents:
3. Substitute back into the expression:
4. Apply the properties of exponents:
5. Convert to standard form:
6. Therefore, the final answer is:
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