Câu 3. Phân Tích đa Thúc 6x-12xy-18x2 Thành - Gauthmath

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Question

Which expression is equivalent to x^(-frac 5)3 ? 1/sqrt[5](x^3) 1/sqrt[3](x^5) -sqrt[3](x^5) -sqrt[5](x^3)SHOW LESS0

Solution

user avatar imageAnswer\frac {1}{\sqrt [3]{x^{5}}}ExplanationExplanation: To find the expression equivalent to x^{-\frac {5}{3}} , we can rewrite the exponent as a product of powers of x and apply the property of exponents. Step 1: Rewrite the exponent as a product of powers of x. x^{-\frac {5}{3}} = (x^{-1})^{\frac {5}{3}} Step 2: Apply the property of exponents. (x^{-1})^{\frac {5}{3}} = (1/x)^{\frac {5}{3}} Step 3: Simplify the expression. (1/x)^{\frac {5}{3}} = \frac {1}{\sqrt [3]{x^{5}}} Therefore, the expression equivalent to x^{-\frac {5}{3}} is \frac {1}{\sqrt [3]{x^{5}}} , which is the second term.Click to rate:13.3(75 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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