Keeping the bases and adding the exponents, the simplified expression is:
[tex]x^{\frac{4}{21}}[/tex]
We keep the bases and add the exponents.
Hence:
[tex]x^{-\frac{2}{3}} \times x^{\frac{6}{7}} = x^{-\frac{2}{3} + \frac{6}{7}} = x^{\frac{-14 + 18}{21}} = x^{\frac{4}{21}}[/tex]
More can be learned about the simplification of expressions at https://brainly.com/question/19338732
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