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- Prime Factor Decomposition
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Simplify $\left(3^3\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $3$ and $n$ equals $2$
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$3^{6}\cdot \frac{3^7}{\left(3^4\right)^2}\cdot 3^6\cdot \frac{3^2}{\left(3^3\right)^5}\cdot 3^2$
Learn how to solve problems step by step online. Multiply 3^3^2(3^7)/(3^4^2)3^6(3^2)/(3^3^5)3^2. Simplify \left(3^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Simplify \left(3^4\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 2. Simplify \left(3^3\right)^5 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 5. When multiplying two powers that have the same base (3^{6}), you can add the exponents.