Simplify 913×27−133−16×323

Question 1 Report

Simplify $\frac{9^{\frac{1}{3}} \times 27^{- \frac{1}{3}}}{3^{- \frac{1}{6}} \times 3^{\frac{2}{3}}}$

1

3

1

3

9

Answer Details

\frac{9^{\frac{1}{3}} \times 27^{- \frac{1}{3}}}{3^{- \frac{1}{6}} \times 3^{\frac{2}{3}}}

=

\frac{(3^{2})^{\frac{1}{3}} \times (3^{3})^{- \frac{1}{3}}}{3^{- \frac{1}{6}} \times 3^{\frac{2}{3}}}

=

\frac{3^{\frac{2}{3}} \times 3^{\frac{2}{3}}}{3^{- \frac{1}{6}} \times 3^{\frac{2}{3}}}

=

\frac{3^{\frac{5}{6}}}{3^{- \frac{5}{6}}}

= 1

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