663793 663793
  • 01-10-2021
  • Mathematics
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Rewrite the expression using rational exponents.

Rewrite the expression using rational exponents class=

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LammettHash
LammettHash LammettHash
  • 01-10-2021

The n-th root of x is equivalent to raising x to the power of 1/n, so

[tex]2\sqrt[4]{x^7} = 2\left(x^7\right)^{1/4}[/tex]

If you raise x to some power n, then raise that to another power m, the result is raising x to the power of mn, so

[tex]2\left(x^7\right)^{1/4} = \boxed{2x^{7/4}}[/tex]

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