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The power of a product is equal to the product of it's factors raised to the same power
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$4x\sqrt{x^{3}}\sqrt{y^{7}}+3xy^2\sqrt{x^{3}}\sqrt{y^{3}}-7y\sqrt{x^{5}}\sqrt{y^{5}}+5\left(\frac{x}{y}\right)\sqrt{x^{3}}\sqrt{y^{9}}$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression 4x(x^3y^7)^1/2+3xy^2(x^3y^3)^1/2-7y(x^5y^5)^1/2x/y(25x^3y^9)^1/2. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base we can add the exponents. Combining like terms 4x\sqrt{x^{3}}\sqrt{y^{7}} and 3\sqrt{y^{7}}x\sqrt{x^{3}}. When multiplying exponents with same base you can add the exponents: 7\sqrt{y^{7}}x\sqrt{x^{3}}.