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If (\sqrt{x}=x^{\frac{1}{2}}) and (x>0), then (\sqrt{x^{3}}\cdot x^{-\frac{1}{2}}) equals which expression?
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Answer and explanation
Correct answer: (x)
Since (\sqrt{x^{3}}=x^{\frac{3}{2}}), (x^{\frac{3}{2}}\cdot x^{-\frac{1}{2}}=x^{1}=x). In exams, convert radicals to fractional exponents.
Frequently asked questions
What is the correct answer to this question?
(x)
Why is this the correct answer?
Since (\sqrt{x^{3}}=x^{\frac{3}{2}}), (x^{\frac{3}{2}}\cdot x^{-\frac{1}{2}}=x^{1}=x). In exams, convert radicals to fractional exponents.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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