Question

1, viết kết quả dưới dạng lũy thừa

a, \(81^3\cdot\frac{1}{9^2}:3^3\)

Answer 1

\(81^3\cdot\frac{1}{9^2}:3^3\)

\(=\left(9^2\right)^3\cdot\frac{1}{9^2}:3^3\)

\(=9^6\cdot\frac{1}{9^2}:3^3\)

\(=9^4:3^3\)

\(=3^8:3^3=3^5\)

Answer 2

=(3^4)3/(3^2)2:3^3

=3^12/3^4:3^3

=3^5

Answer 3

\(81^3\cdot\frac{1}{9^2}:3^3=\left(9^2\right)^3\cdot\frac{1}{9^2}\cdot\frac{1}{3^3}=9^6\cdot\frac{1}{9^2}\cdot\frac{1}{3^3}=\frac{9^6\cdot1\cdot1}{\left(3^2\right)^2\cdot3^3}=\frac{\left(3^2\right)^6}{3^4\cdot3^3}=\frac{3^{12}}{3^7}=3^5\)

Answer 4

\(81^3\times\frac{1}{9^2}:3^3\)

\(=\left(9^2\right)^3\times\frac{1}{9^2}:3^3\)

\(=9^6\times\frac{1}{9^2}:3^3\)

\(=9^4:3^3\)

\(=\left(3^2\right)^4:3^3\)

\(=3^8:3^3\)

\(=3^5\)

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