Question

Completely simplify the expression (2frac{x}{y^{-1/3}})^{-1} Your final answer should contain no negative exponents and no radicals.

Rational exponents and radicals
ANSWERED
asked 2021-01-31
Completely simplify the expression \((2\frac{x}{y^{-1/3}})^{-1}\) Your final answer should contain no negative exponents and no radicals.

Answers (1)

2021-02-01
For negative in exponent, we can change the side of the term
\((2\frac{x}{y^{-1/3}})^{-1}\)
\(=(2xy^{\frac{1}{3}})^{-1}\)
Then distribute -1 with other exponents
\(=2^{-1}x^{-1}(y^{\frac{1}{3}})^{1}\)
\(=\frac{1}{2} \cdot \frac{1}{x}y^{-\frac{1}{3}}\)
\(=\frac{1}{2xy^{\frac{1}{3}}}\)
Answer: \(=\frac{1}{2xy^{\frac{1}{3}}}\)
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