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When I write my expression in rational exponent form, what is the fraction that goes with the base of 10?

When I write my expression in rational exponent form what is the fraction that goes with the base of 10 class=

Respuesta :

Answer is the fraction  3/5

The rule to use here is

[tex]\sqrt[n]{x^m} = x^{m/n}[/tex]

The n is the index of the root, which is the denominator of the fractional exponent. In this case, x = 10, m = 3, n = 5

So,

[tex]\sqrt[5]{10^3} = 10^{3/5}[/tex]

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