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(3^(-2)×3^5)/3^6

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Answer to a math question (3^(-2)×3^5)/3^6

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Birdie
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103 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} .

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