simplify 1^{1-5/3}

Solution

simplify

1^{1 - \frac{5}{3}}

1

Solution steps

1^{1 - \frac{5}{3}}

1 - \frac{5}{3} = - \frac{2}{3}

= 1^{- \frac{2}{3}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

1^{- \frac{2}{3}} = \frac{1}{1 ^{\frac{2}{3}}}

= \frac{1}{1 ^{\frac{2}{3}}}

\frac{1}{1 ^{\frac{2}{3}}} = 1

= 1

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