Final Answer
Step-by-step Solution
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Simplify $\sqrt{a^3}$ 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 $\frac{1}{2}$
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$\sqrt{a^{3}}bc^5+\sqrt{ab^7}c^3+\sqrt{a^9}b^5c$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square a^3^1/2bc^5+(ab^7)^1/2c^3a^9^1/2b^5c. Simplify \sqrt{a^3} 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 \frac{1}{2}. Simplify \sqrt{a^9} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9 and n equals \frac{1}{2}. The power of a product is equal to the product of it's factors raised to the same power. Factor the polynomial \sqrt{a^{3}}bc^5+\sqrt{a}\sqrt{b^{7}}c^3+\sqrt{a^{9}}b^5c by it's greatest common factor (GCF): \sqrt{a}bc.