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Describe how to transform the quantity of the fifth root of x to the seventh power, to the third power into an expression with a rational exponent. Make sure you respond with complete sentences.

Respuesta :

abidemiokin

The transformation is equivalent to x to the power of twenty-one over five

Given the expression;

[tex][(\sqrt[5]{x} )^7]^3[/tex]

Using the following laws of indices to transform the expression

  • [tex](a^m)^n = a^{mn}[/tex]
  • [tex](\sqrt[n]{m})^a=m^{\frac{a}{n} }[/tex]

Applying this to the given indices

[tex]=[(\sqrt[5]{x} )^7]^3\\=(\sqrt[5]{x} )^{21}\\= x^\frac{21}{5}[/tex]

This is equivalent to x to the power of twenty-one over five

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