Radical and Exponents Simplify the expression frac{8r^(1/2)s^-3}{2r^-2 x^4}

Question
Exponents and radicals
asked 2020-11-22
Radical and Exponents Simplify the expression \(\frac{8r^(1/2)s^-3}{2r^-2 x^4}\)

Answers (1)

2020-11-23
The given algebraic expression is, \(\frac{8r^{1/2}s^-3}{2r^-2 x^4}\) Calculation: Simplify the given algebraic expression. \(\frac{8r^{1//2}s^-3}{2r^-2 x^4} = 4r^{\frac{1}{2}-(-2)}s^{-3-4}\)
\([\therefore] \frac{a^m}{a^n} = a^{m-n}\)
\(= 4r^{\frac{1}{2} +2} s^{-7}\)
\(= 4r^{\frac{5}{2}} s^-7\) Therefore, the simplification of the given algebraic expression is \(4r^{\frac{5}{2}}s^{-7}\).
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